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190147364118672 = 243312232148726669
BaseRepresentation
bin101011001111000000100010…
…000101111110000010010000
3220221020220120201222200012020
4223033000202011332002100
5144410333300203244142
61512224254304531440
755023456641165232
oct5317004205760220
9827226521880166
10190147364118672
1155650053a05864
12193ab9bb620b80
138213a86588c1c
1434d5278184252
1516eb28160dcec
hexacf02217e090

190147364118672 has 160 divisors (see below), whose sum is σ = 509376251166720. Its totient is φ = 61057670330880.

The previous prime is 190147364118637. The next prime is 190147364118707. The reversal of 190147364118672 is 276811463741091.

It is an interprime number because it is at equal distance from previous prime (190147364118637) and next prime (190147364118707).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7129888954 + ... + 7129915622.

It is an arithmetic number, because the mean of its divisors is an integer number (3183601569792).

Almost surely, 2190147364118672 is an apocalyptic number.

190147364118672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190147364118672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254688125583360).

190147364118672 is an abundant number, since it is smaller than the sum of its proper divisors (319228887048048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190147364118672 is a wasteful number, since it uses less digits than its factorization.

190147364118672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48421 (or 48415 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 190147364118672 in words is "one hundred ninety trillion, one hundred forty-seven billion, three hundred sixty-four million, one hundred eighteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 223 248 372 446 496 669 744 892 1338 1488 1784 2676 3568 5352 6913 10704 13826 20739 21487 26669 27652 41478 42974 53338 55304 64461 80007 82956 85948 106676 110608 128922 160014 165912 171896 213352 257844 320028 331824 343792 426704 515688 640056 666097 826739 1031376 1280112 1332194 1653478 1998291 2480217 2664388 3306956 3996582 4791601 4960434 5328776 5947187 6613912 7993164 9583202 9920868 10657552 11894374 13227824 14374803 15986328 17841561 19166404 19841736 23788748 28749606 31972656 35683122 38332808 39683472 47577496 57499212 71366244 76665616 95154992 114998424 142732488 148539631 184362797 229996848 285464976 297079262 368725594 445618893 553088391 573036803 594158524 737451188 891237786 1106176782 1146073606 1188317048 1474902376 1719110409 1782475572 2212353564 2292147212 2376634096 2949804752 3438220818 3564951144 4424707128 4584294424 6876441636 7129902288 8849414256 9168588848 13752883272 17764140893 27505766544 35528281786 53292422679 71056563572 106584845358 127787207069 142113127144 213169690716 255574414138 284226254288 383361621207 426339381432 511148828276 766723242414 852678762864 1022297656552 1533446484828 2044595313104 3066892969656 3961403419139 6133785939312 7922806838278 11884210257417 15845613676556 23768420514834 31691227353112 47536841029668 63382454706224 95073682059336 190147364118672