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96800068992 = 2731147487589
BaseRepresentation
bin101101000100110111…
…0111101010110000000
3100020212011102000010110
41122021232331112000
53041221304201432
6112245213231320
76664540003404
oct1321156752600
9306764360113
1096800068992
113806412a620
1216916192540
139188896443
144984093104
1527b8351dcc
hex1689bbd580

96800068992 has 128 divisors (see below), whose sum is σ = 286468876800. Its totient is φ = 28709181440.

The previous prime is 96800068969. The next prime is 96800069017. The reversal of 96800068992 is 29986000869.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 45267 + ... + 442322.

It is an arithmetic number, because the mean of its divisors is an integer number (2238038100).

Almost surely, 296800068992 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 96800068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143234438400).

96800068992 is an abundant number, since it is smaller than the sum of its proper divisors (189668807808).

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

96800068992 is a wasteful number, since it uses less digits than its factorization.

96800068992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487664 (or 487652 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 96800068992 in words is "ninety-six billion, eight hundred million, sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 264 282 352 376 384 517 528 564 704 752 1034 1056 1128 1408 1504 1551 2068 2112 2256 3008 3102 4136 4224 4512 6016 6204 8272 9024 12408 16544 18048 24816 33088 49632 66176 99264 198528 487589 975178 1462767 1950356 2925534 3900712 5363479 5851068 7801424 10726958 11702136 15602848 16090437 21453916 22916683 23404272 31205696 32180874 42907832 45833366 46808544 62411392 64361748 68750049 85815664 91666732 93617088 128723496 137500098 171631328 183333464 187234176 252083513 257446992 275000196 343262656 366666928 504167026 514893984 550000392 686525312 733333856 756250539 1008334052 1029787968 1100000784 1466667712 1512501078 2016668104 2059575936 2200001568 2933335424 3025002156 4033336208 4400003136 6050004312 8066672416 8800006272 12100008624 16133344832 24200017248 32266689664 48400034496 96800068992