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51086414288 = 24713317914327
BaseRepresentation
bin101111100100111111…
…001101000111010000
311212212022002201212002
4233210333031013100
51314111110224123
635245131053132
73455653233230
oct574477150720
9155768081762
1051086414288
111a735a491a8
129a988a11a8
134a81b74a10
142688b33cc0
1514dee45528
hexbe4fcd1d0

51086414288 has 160 divisors (see below), whose sum is σ = 127351848960. Its totient is φ = 19309155840.

The previous prime is 51086414287. The next prime is 51086414333. The reversal of 51086414288 is 88241468015.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51086414287) 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, 3558581 + ... + 3572907.

It is an arithmetic number, because the mean of its divisors is an integer number (795949056).

Almost surely, 251086414288 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 51086414288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63675924480).

51086414288 is an abundant number, since it is smaller than the sum of its proper divisors (76265434672).

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

51086414288 is a wasteful number, since it uses less digits than its factorization.

51086414288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14465 (or 14459 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 47.

The spelling of 51086414288 in words is "fifty-one billion, eighty-six million, four hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 79 91 104 112 124 158 182 208 217 248 316 364 403 434 496 553 632 728 806 868 1027 1106 1264 1456 1612 1736 2054 2212 2449 2821 3224 3472 4108 4424 4898 5642 6448 7189 8216 8848 9796 11284 14327 14378 16432 17143 19592 22568 28654 28756 31837 34286 39184 45136 57308 57512 63674 68572 100289 114616 115024 127348 137144 186251 200578 222859 229232 254696 274288 372502 401156 444137 445718 509392 745004 802312 888274 891436 1131833 1303757 1490008 1604624 1776548 1782872 2263666 2607514 2980016 3108959 3553096 3565744 4527332 5215028 5773781 6217918 7106192 7922831 9054664 10430056 11547562 12435836 14713829 15845662 18109328 20860112 23095124 24871672 29427658 31691324 35086823 40416467 46190248 49743344 58855316 63382648 70173646 80832934 92380496 102996803 117710632 126765296 140347292 161665868 205993606 235421264 245607761 280694584 323331736 411987212 456128699 491215522 561389168 646663472 823974424 912257398 982431044 1647948848 1824514796 1964862088 3192900893 3649029592 3929724176 6385801786 7298059184 12771603572 25543207144 51086414288