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97807405328 = 24174715748731
BaseRepresentation
bin101101100010111000…
…1101001000100010000
3100100110100212222210122
41123011301221010100
53100302143432303
6112533200045412
710031521141133
oct1330561510420
9310410788718
1097807405328
1138530804296
1216b57603868
1392b94a1949
144a3bb9021a
1528269d1e38
hex16c5c69110

97807405328 has 80 divisors (see below), whose sum is σ = 206227586304. Its totient is φ = 44759869440.

The previous prime is 97807405313. The next prime is 97807405331. The reversal of 97807405328 is 82350470879.

97807405328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 97807405328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1982723 + ... + 2031453.

Almost surely, 297807405328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97807405328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103113793152).

97807405328 is an abundant number, since it is smaller than the sum of its proper divisors (108420180976).

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

97807405328 is a wasteful number, since it uses less digits than its factorization.

97807405328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48960 (or 48954 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 97807405328 in words is "ninety-seven billion, eight hundred seven million, four hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 157 188 272 314 376 628 752 799 1256 1598 2512 2669 3196 5338 6392 7379 10676 12784 14758 21352 29516 42704 48731 59032 97462 118064 125443 194924 250886 389848 501772 779696 828427 1003544 1656854 2007088 2290357 3313708 4580714 6627416 7650767 9161428 13254832 15301534 18322856 30603068 36645712 38936069 61206136 77872138 122412272 130063039 155744276 260126078 311488552 359586049 520252156 622977104 719172098 1040504312 1438344196 2081008624 2876688392 5753376784 6112962833 12225925666 24451851332 48903702664 97807405328