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54572295960 = 233257132324767
BaseRepresentation
bin110010110100110000…
…110010011100011000
312012212020101212112200
4302310300302130120
51343231001432320
641023053410200
73641231601450
oct626460623430
9165766355480
1054572295960
1121164702746
12a6b0199960
1351b910a0b0
1428d9a98d60
151645eb4290
hexcb4c32718

54572295960 has 1152 divisors, whose sum is σ = 236526151680. Its totient is φ = 10618324992.

The previous prime is 54572295949. The next prime is 54572295997. The reversal of 54572295960 is 6959227545.

54572295960 is a `hidden beast` number, since 5 + 4 + 572 + 2 + 9 + 5 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54572295897 and 54572295906.

It is a congruent number.

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, 814511847 + ... + 814511913.

It is an arithmetic number, because the mean of its divisors is an integer number (205317840).

Almost surely, 254572295960 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 54572295960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118263075840).

54572295960 is an abundant number, since it is smaller than the sum of its proper divisors (181953855720).

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

54572295960 is a wasteful number, since it uses less digits than its factorization.

54572295960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 54572295960 in words is "fifty-four billion, five hundred seventy-two million, two hundred ninety-five thousand, nine hundred sixty".