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97865896772 = 22731416174457
BaseRepresentation
bin101101100100101000…
…0110001001101000100
3100100121102221122222102
41123021100301031010
53100412132144042
6112543045451232
710033131253130
oct1331120611504
9310542848872
1097865896772
1138560824826
1216b73110b18
1392c8641077
144a458583c0
15282bbd7b32
hex16c9431344

97865896772 has 96 divisors (see below), whose sum is σ = 207355631616. Its totient is φ = 39526502400.

The previous prime is 97865896757. The next prime is 97865896789. The reversal of 97865896772 is 27769856879.

It is a self number, because there is not a number n which added to its sum of digits gives 97865896772.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21955568 + ... + 21960024.

It is an arithmetic number, because the mean of its divisors is an integer number (2159954496).

Almost surely, 297865896772 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 97865896772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103677815808).

97865896772 is an abundant number, since it is smaller than the sum of its proper divisors (109489734844).

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

97865896772 is a wasteful number, since it uses less digits than its factorization.

97865896772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5155 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 74.

The spelling of 97865896772 in words is "ninety-seven billion, eight hundred sixty-five million, eight hundred ninety-six thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 31 41 62 82 124 164 217 287 434 574 617 868 1148 1234 1271 2468 2542 4319 4457 5084 8638 8897 8914 17276 17794 17828 19127 25297 31199 35588 38254 50594 62398 76508 101188 124796 133889 138167 177079 182737 267778 276334 354158 365474 535556 552668 708316 730948 784207 967169 1279159 1568414 1934338 2558318 2749969 3136828 3868676 5116636 5489449 5499938 5664847 10978898 10999876 11329694 19249783 21957796 22659388 38499566 39653929 76999132 79307858 85249039 112748729 158615716 170498078 225497458 340996156 450994916 596743273 789241103 1193486546 1578482206 2386973092 3156964412 3495210599 6990421198 13980842396 24466474193 48932948386 97865896772