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1690094220192 = 253271531547577
BaseRepresentation
bin11000100110000001011…
…101110011001110100000
312222120102120110001220100
4120212001131303032200
5210142303110021232
63332230224342400
7233051052561030
oct30460135631640
95876376401810
101690094220192
115a1846143604
12233675174a00
13c34b54170c1
145bb2dd138c0
152de6ad72c7c
hex189817733a0

1690094220192 has 144 divisors (see below), whose sum is σ = 5496403977792. Its totient is φ = 482567777280.

The previous prime is 1690094220181. The next prime is 1690094220233. The reversal of 1690094220192 is 2910224900961.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2812708 + ... + 3360284.

It is an arithmetic number, because the mean of its divisors is an integer number (38169472068).

Almost surely, 21690094220192 is an apocalyptic number.

1690094220192 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 1690094220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748201988896).

1690094220192 is an abundant number, since it is smaller than the sum of its proper divisors (3806309757600).

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

1690094220192 is a wasteful number, since it uses less digits than its factorization.

1690094220192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549131 (or 549120 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1690094220192 in words is "one trillion, six hundred ninety billion, ninety-four million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1531 2016 3062 4593 6124 9186 10717 12248 13779 18372 21434 24496 27558 32151 36744 42868 48992 55116 64302 73488 85736 96453 110232 128604 146976 171472 192906 220464 257208 342944 385812 440928 514416 547577 771624 1028832 1095154 1543248 1642731 2190308 3086496 3285462 3833039 4380616 4928193 6570924 7666078 8761232 9856386 11499117 13141848 15332156 17522464 19712772 22998234 26283696 30664312 34497351 39425544 45996468 52567392 61328624 68994702 78851088 91992936 122657248 137989404 157702176 183985872 275978808 367971744 551957616 838340387 1103915232 1676680774 2515021161 3353361548 5030042322 5868382709 6706723096 7545063483 10060084644 11736765418 13413446192 15090126966 17605148127 20120169288 23473530836 26826892384 30180253932 35210296254 40240338576 46947061672 52815444381 60360507864 70420592508 80480677152 93894123344 105630888762 120721015728 140841185016 187788246688 211261777524 241442031456 281682370032 422523555048 563364740064 845047110096 1690094220192