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192090902328 = 233313563121507
BaseRepresentation
bin1011001011100110000…
…0101000111100111000
3200100211010220220011000
42302321200220330320
511121400232333303
6224124554405000
716610122505133
oct2627140507470
9610733826130
10192090902328
1174513341046
123128aa30760
1315163885920
14942391b21a
154ee3e32da3
hex2cb9828f38

192090902328 has 128 divisors (see below), whose sum is σ = 575656300800. Its totient is φ = 58999425408.

The previous prime is 192090902327. The next prime is 192090902347. The reversal of 192090902328 is 823209090291.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192090902327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520151 + ... + 1641657.

It is an arithmetic number, because the mean of its divisors is an integer number (4497314850).

Almost surely, 2192090902328 is an apocalyptic number.

192090902328 is a gapful number since it is divisible by the number (18) 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 192090902328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287828150400).

192090902328 is an abundant number, since it is smaller than the sum of its proper divisors (383565398472).

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

192090902328 is a wasteful number, since it uses less digits than its factorization.

192090902328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122098 (or 122088 counting only the distinct ones).

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

The spelling of 192090902328 in words is "one hundred ninety-two billion, ninety million, nine hundred two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 563 702 936 1126 1404 1689 2252 2808 3378 4504 5067 6756 7319 10134 13512 14638 15201 20268 21957 29276 30402 40536 43914 58552 60804 65871 87828 121507 121608 131742 175656 197613 243014 263484 364521 395226 486028 526968 729042 790452 972056 1093563 1458084 1579591 1580904 2187126 2916168 3159182 3280689 4374252 4738773 6318364 6561378 8748504 9477546 12636728 13122756 14216319 18955092 26245512 28432638 37910184 42648957 56865276 68408441 85297914 113730552 136816882 170595828 205225323 273633764 341191656 410450646 547267528 615675969 820901292 889309733 1231351938 1641802584 1778619466 1847027907 2462703876 2667929199 3557238932 3694055814 4925407752 5335858398 7114477864 7388111628 8003787597 10671716796 14776223256 16007575194 21343433592 24011362791 32015150388 48022725582 64030300776 96045451164 192090902328