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54157884480 = 26325716316481
BaseRepresentation
bin110010011100000011…
…111011110001000000
312011210100121120212100
4302130003323301000
51341403404300410
640514011230400
73625040264640
oct623403736100
9164710546770
1054157884480
1120a71794217
12a5b5448400
1351512c0cbb
14289aa22520
15161e9058c0
hexc9c0fbc40

54157884480 has 336 divisors, whose sum is σ = 214211147904. Its totient is φ = 12302254080.

The previous prime is 54157884463. The next prime is 54157884493. The reversal of 54157884480 is 8448875145.

54157884480 is a `hidden beast` number, since 5 + 4 + 15 + 78 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 3277840 + ... + 3294320.

Almost surely, 254157884480 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 54157884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107105573952).

54157884480 is an abundant number, since it is smaller than the sum of its proper divisors (160053263424).

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

54157884480 is a wasteful number, since it uses less digits than its factorization.

54157884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16674 (or 16661 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 54157884480 in words is "fifty-four billion, one hundred fifty-seven million, eight hundred eighty-four thousand, four hundred eighty".