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78853132864 = 2611231912
BaseRepresentation
bin100100101110000000…
…0110101001001000000
321112112102002012001101
41021130000311021000
52242442400222424
6100120304144144
75461024366432
oct1113400651100
9245472065041
1078853132864
11304945a0900
1213347908054
1375886549cc
143b6071a652
1520b797b344
hex125c035240

78853132864 has 63 divisors (see below), whose sum is σ = 172046202643. Its totient is φ = 35831100800.

The previous prime is 78853132859. The next prime is 78853132889. The reversal of 78853132864 is 46823135887.

The square root of 78853132864 is 280808.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24709509 + ... + 24712699.

Almost surely, 278853132864 is an apocalyptic number.

78853132864 is the 280808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78853132864

78853132864 is an abundant number, since it is smaller than the sum of its proper divisors (93193069779).

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

78853132864 is an frugal number, since it uses more digits than its factorization.

78853132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 3204 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 55.

The spelling of 78853132864 in words is "seventy-eight billion, eight hundred fifty-three million, one hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3191 3872 6382 7744 12764 25528 35101 51056 70202 102112 140404 204224 280808 386111 561616 772222 1123232 1544444 2246464 3088888 6177776 10182481 12355552 20364962 24711104 40729924 81459848 112007291 162919696 224014582 325839392 448029164 651678784 896058328 1232080201 1792116656 2464160402 3584233312 4928320804 7168466624 9856641608 19713283216 39426566432 78853132864