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54287216802 = 232713232314347
BaseRepresentation
bin110010100011110001…
…010011000010100010
312012010100222100110100
4302203301103002202
51342140011414202
640534511243230
73631200505050
oct624361230242
9165110870410
1054287216802
112102879a535
12a630819516
1351720348c0
1428adc8b1d0
15162ae5141c
hexca3c530a2

54287216802 has 576 divisors, whose sum is σ = 163249422336. Its totient is φ = 12669592320.

The previous prime is 54287216791. The next prime is 54287216831. The reversal of 54287216802 is 20861278245.

54287216802 is a `hidden beast` number, since 5 + 428 + 7 + 216 + 8 + 0 + 2 = 666.

It is a super-2 number, since 2×542872168022 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1155047143 + ... + 1155047189.

It is an arithmetic number, because the mean of its divisors is an integer number (283419136).

Almost surely, 254287216802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54287216802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81624711168).

54287216802 is an abundant number, since it is smaller than the sum of its proper divisors (108962205534).

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

54287216802 is a wasteful number, since it uses less digits than its factorization.

54287216802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 54287216802 in words is "fifty-four billion, two hundred eighty-seven million, two hundred sixteen thousand, eight hundred two".