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152045604612 = 2232111136175507
BaseRepresentation
bin1000110110011010011…
…1111100111100000100
3112112110022121222212100
42031212213330330010
54442342133321422
6153503200552100
713661555213046
oct2154647747404
9475408558770
10152045604612
1159533864180
1225573922630
13114513033a5
14750531ba96
153e4d49e7ac
hex23669fcf04

152045604612 has 144 divisors (see below), whose sum is σ = 423750180672. Its totient is φ = 45584394240.

The previous prime is 152045604611. The next prime is 152045604671. The reversal of 152045604612 is 216406540251.

152045604612 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 45 + 604 + 6 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152045604611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27606763 + ... + 27612269.

It is an arithmetic number, because the mean of its divisors is an integer number (2942709588).

Almost surely, 2152045604612 is an apocalyptic number.

152045604612 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 152045604612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211875090336).

152045604612 is an abundant number, since it is smaller than the sum of its proper divisors (271704576060).

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

152045604612 is a wasteful number, since it uses less digits than its factorization.

152045604612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6258 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 152045 and 604612, that added together give a palindrome (756657).

The spelling of 152045604612 in words is "one hundred fifty-two billion, forty-five million, six hundred four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 617 678 1017 1234 1243 1356 1851 2034 2468 2486 3702 3729 4068 4972 5507 5553 6787 7404 7458 11014 11106 11187 13574 14916 16521 20361 22028 22212 22374 27148 33042 40722 44748 49563 60577 61083 66084 69721 81444 99126 121154 122166 139442 181731 198252 209163 242308 244332 278884 363462 418326 545193 622291 627489 726924 766931 836652 1090386 1244582 1254978 1533862 1866873 2180772 2300793 2489164 2509956 3067724 3397819 3733746 4601586 5600619 6795638 6845201 6902379 7467492 9203172 10193457 11201238 13591276 13690402 13804758 20386914 20535603 22402476 27380804 27609516 30580371 37376009 40773828 41071206 61160742 61606809 74752018 82142412 112128027 122321484 123213618 149504036 224256054 246427236 336384081 383953547 448512108 672768162 767907094 1151860641 1345536324 1535814188 2303721282 3455581923 4223489017 4607442564 6911163846 8446978034 12670467051 13822327692 16893956068 25340934102 38011401153 50681868204 76022802306 152045604612