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54565402680 = 233353141127313
BaseRepresentation
bin110010110100010110…
…011111100000111000
312012211202102122202000
4302310112133200320
51343222220341210
641022245541000
73641116161435
oct626426374070
9165752378660
1054565402680
1121160824718
12a6a9a14760
1351b7865629
1428d8bc2b8c
1516455a1ac0
hexcb459f838

54565402680 has 512 divisors, whose sum is σ = 194464972800. Its totient is φ = 13586227200.

The previous prime is 54565402669. The next prime is 54565402687. The reversal of 54565402680 is 8620456545.

54565402680 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 540 + 26 + 80 = 666.

54565402680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54565402687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174330204 + ... + 174330516.

It is an arithmetic number, because the mean of its divisors is an integer number (379814400).

Almost surely, 254565402680 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 54565402680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97232486400).

54565402680 is an abundant number, since it is smaller than the sum of its proper divisors (139899570120).

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

54565402680 is a wasteful number, since it uses less digits than its factorization.

54565402680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 54565402680 in words is "fifty-four billion, five hundred sixty-five million, four hundred two thousand, six hundred eighty".