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9904591317712 = 2472132211143951
BaseRepresentation
bin1001000000100001011110…
…1001011010101011010000
31022001212110222222000102211
42100020113221122223100
52244234100334131322
633022034553521504
72041404002050600
oct220102751325320
938055428860384
109904591317712
11317957164a973
12113b6ab713294
1356acca916230
14263555b88c00
15122993d33b77
hex90217a5aad0

9904591317712 has 120 divisors (see below), whose sum is σ = 24042036544512. Its totient is φ = 3918033504000.

The previous prime is 9904591317703. The next prime is 9904591317773. The reversal of 9904591317712 is 2177131954099.

It is a super-3 number, since 3×99045913177123 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225333337 + ... + 225377287.

Almost surely, 29904591317712 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 9904591317712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021018272256).

9904591317712 is an abundant number, since it is smaller than the sum of its proper divisors (14137445226800).

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

9904591317712 is a wasteful number, since it uses less digits than its factorization.

9904591317712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66097 (or 66084 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 58.

The spelling of 9904591317712 in words is "nine trillion, nine hundred four billion, five hundred ninety-one million, three hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 22111 43951 44222 87902 88444 154777 175804 176888 287443 307657 309554 351608 353776 571363 574886 615314 619108 703216 1083439 1142726 1149772 1230628 1238216 2012101 2153599 2166878 2285452 2299544 2461256 2476432 3999541 4024202 4307198 4333756 4570904 4599088 4922512 7999082 8048404 8614396 8667512 9141808 14084707 15998164 16096808 17228792 17335024 27996787 28169414 31996328 32193616 34457584 55993574 56338828 63992656 111987148 112677656 223974296 225355312 447948592 971800561 1943601122 3887202244 6802603927 7774404488 12633407293 13605207854 15548808976 25266814586 27210415708 47618227489 50533629172 54420831416 88433851051 95236454978 101067258344 108841662832 176867702102 190472909956 202134516688 353735404204 380945819912 619036957357 707470808408 761891639824 1238073914714 1414941616816 2476147829428 4952295658856 9904591317712