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83121561426728 = 23112573685799719
BaseRepresentation
bin10010111001100100111111…
…001001000101101100101000
3101220022100021112101121101002
4102321210333021011230220
541343330424211123403
6452441303531214132
723336222531343356
oct2271447711055450
9356270245347332
1083121561426728
11245377244a5a50
1293a56228a7348
13374c4391c7c06
1416751683267d6
159922b1263188
hex4b993f245b28

83121561426728 has 64 divisors (see below), whose sum is σ = 170689280054400. Its totient is φ = 37634115665920.

The previous prime is 83121561426707. The next prime is 83121561426833. The reversal of 83121561426728 is 82762416512138.

It is a super-2 number, since 2×831215614267282 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833508053 + ... + 833607771.

It is an arithmetic number, because the mean of its divisors is an integer number (2667020000850).

Almost surely, 283121561426728 is an apocalyptic number.

83121561426728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

83121561426728 is an abundant number, since it is smaller than the sum of its proper divisors (87567718627672).

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

83121561426728 is a wasteful number, since it uses less digits than its factorization.

83121561426728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136850 (or 136846 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 56.

The spelling of 83121561426728 in words is "eighty-three trillion, one hundred twenty-one billion, five hundred sixty-one million, four hundred twenty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 257 514 1028 2056 2827 5654 11308 22616 36857 73714 99719 147428 199438 294856 398876 405427 797752 810854 1096909 1621708 2193818 3243416 4387636 8775272 9472249 18944498 25627783 37888996 51255566 75777992 102511132 104194739 205022264 208389478 281905613 416778956 563811226 833557912 1127622452 2255244904 3675343183 7350686366 14701372732 29402745464 40428775013 80857550026 161715100052 323430200104 944563198031 1889126396062 3778252792124 7556505584248 10390195178341 20780390356682 41560780713364 83121561426728