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53460679860 = 22335731214717
BaseRepresentation
bin110001110010100000…
…010011110010110100
312002222202200220221000
4301302200103302310
51333441413223420
640320503523300
73601543165260
oct616240236264
9162882626830
1053460679860
1120744184055
12a43ba59530
13506ca200a3
1428321b50a0
1515cd5d6690
hexc72813cb4

53460679860 has 288 divisors, whose sum is σ = 196425250560. Its totient is φ = 11824600320.

The previous prime is 53460679837. The next prime is 53460679873. The reversal of 53460679860 is 6897606435.

53460679860 is a `hidden beast` number, since 53 + 460 + 6 + 79 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 53460679797 and 53460679806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3625222 + ... + 3639938.

It is an arithmetic number, because the mean of its divisors is an integer number (682032120).

Almost surely, 253460679860 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 53460679860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98212625280).

53460679860 is an abundant number, since it is smaller than the sum of its proper divisors (142964570700).

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

53460679860 is a wasteful number, since it uses less digits than its factorization.

53460679860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14804 (or 14765 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 53460679860 in words is "fifty-three billion, four hundred sixty million, six hundred seventy-nine thousand, eight hundred sixty".