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96630876332984 = 237291271148340801
BaseRepresentation
bin10101111110001010100001…
…000011101110001110111000
3110200010211011220202010002002
4111332022201003232032320
5100131200013320123414
6541303340050000132
726232231124400510
oct2576124103561670
9420124156663062
1096630876332984
1128875a1958a074
12aa07864b76048
1341bc338a9ac36
1419c0d6071a840
15b288ce1b04de
hex57e2a10ee3b8

96630876332984 has 128 divisors (see below), whose sum is σ = 215917133414400. Its totient is φ = 39665919283200.

The previous prime is 96630876332983. The next prime is 96630876332993. The reversal of 96630876332984 is 48923367803669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96630876332983) 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, 2368325384 + ... + 2368366184.

It is an arithmetic number, because the mean of its divisors is an integer number (1686852604800).

Almost surely, 296630876332984 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 96630876332984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107958566707200).

96630876332984 is an abundant number, since it is smaller than the sum of its proper divisors (119286257081416).

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

96630876332984 is a wasteful number, since it uses less digits than its factorization.

96630876332984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52453 (or 52449 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 74.

The spelling of 96630876332984 in words is "ninety-six trillion, six hundred thirty billion, eight hundred seventy-six million, three hundred thirty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 127 203 232 254 406 508 812 889 1016 1624 1778 3556 3683 7112 7366 11483 14732 22966 25781 29464 40801 45932 51562 80381 81602 91864 103124 160762 163204 206248 285607 321524 326408 333007 571214 643048 666014 1142428 1183229 1332028 1458341 2284856 2331049 2366458 2664056 2916682 4662098 4732916 5181727 5833364 8282603 9324196 9465832 10208387 10363454 11666728 16565206 18648392 20416774 20726908 33130412 36272089 40833548 41453816 42291889 66260824 72544178 81667096 84583778 145088356 150270083 169167556 290176712 296043223 300540166 338335112 468517883 592086446 601080332 937035766 1051890581 1184172892 1202160664 1874071532 2103781162 2368345784 3279625181 3748143064 4207562324 6559250362 8415124648 13118500724 13587018607 26237001448 27174037214 54348074428 59501771141 95109130249 108696148856 119003542282 190218260498 238007084564 380436520996 416512397987 476014169128 760873041992 833024795974 1666049591948 1725551363089 3332099183896 3451102726178 6902205452356 12078859541623 13804410904712 24157719083246 48315438166492 96630876332984