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54441563904 = 2832713733557
BaseRepresentation
bin110010101100111110…
…000101011100000000
312012112010101222212200
4302230332011130000
51342444020021104
641002103353200
73635053441440
oct625476053400
9165463358780
1054441563904
11210a7930822
12a674452800
135197cc6350
1428c6588120
15163978db39
hexcacf85700

54441563904 has 432 divisors, whose sum is σ = 195893460672. Its totient is φ = 14157545472.

The previous prime is 54441563899. The next prime is 54441563927. The reversal of 54441563904 is 40936514445.

54441563904 is a `hidden beast` number, since 5 + 4 + 4 + 4 + 1 + 5 + 639 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54441563904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15303694 + ... + 15307250.

Almost surely, 254441563904 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 54441563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97946730336).

54441563904 is an abundant number, since it is smaller than the sum of its proper divisors (141451896768).

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

54441563904 is a wasteful number, since it uses less digits than its factorization.

54441563904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54441563904 in words is "fifty-four billion, four hundred forty-one million, five hundred sixty-three thousand, nine hundred four".