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8960085056 = 261319836829
BaseRepresentation
bin10000101100001000…
…00000110001000000
3212010102222111000002
420112010000301000
5121322240210211
64041033415132
7435016315646
oct102604006100
925112874002
108960085056
11388880957a
1218a086a4a8
13aca4163a0
1460ddc5196
1537694503b
hex216100c40

8960085056 has 112 divisors (see below), whose sum is σ = 20401483200. Its totient is φ = 3870001152.

The previous prime is 8960085049. The next prime is 8960085089. The reversal of 8960085056 is 6505800698.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8960085056.

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, 1308650 + ... + 1315478.

It is an arithmetic number, because the mean of its divisors is an integer number (182156100).

Almost surely, 28960085056 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 8960085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200741600).

8960085056 is an abundant number, since it is smaller than the sum of its proper divisors (11441398144).

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

8960085056 is a wasteful number, since it uses less digits than its factorization.

8960085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6956 (or 6946 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The square root of 8960085056 is about 94657.7258125294. The cubic root of 8960085056 is about 2077.0042129336.

The spelling of 8960085056 in words is "eight billion, nine hundred sixty million, eighty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 83 104 152 166 208 247 304 332 416 494 608 664 832 988 1079 1216 1328 1577 1976 2158 2656 3154 3952 4316 5312 6308 6829 7904 8632 12616 13658 15808 17264 20501 25232 27316 34528 41002 50464 54632 69056 82004 88777 100928 109264 129751 164008 177554 218528 259502 328016 355108 437056 519004 566807 656032 710216 1038008 1133614 1312064 1420432 1686763 2076016 2267228 2840864 3373526 4152032 4534456 5681728 6747052 7368491 8304064 9068912 10769333 13494104 14736982 18137824 21538666 26988208 29473964 36275648 43077332 53976416 58947928 86154664 107952832 117895856 140001329 172309328 235791712 280002658 344618656 471583424 560005316 689237312 1120010632 2240021264 4480042528 8960085056