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54158158560 = 253511109139677
BaseRepresentation
bin110010011100000100…
…111110101011100000
312011210101010111211110
4302130010332223200
51341403442033220
640514021143320
73625042516002
oct623404765340
9164711114743
1054158158560
1120a71961130
12a5b555ab40
13515138898c
14289aa94372
15161e95bbe0
hexc9c13eae0

54158158560 has 384 divisors, whose sum is σ = 189445132800. Its totient is φ = 12896133120.

The previous prime is 54158158553. The next prime is 54158158589. The reversal of 54158158560 is 6585185145.

It is a super-2 number, since 2×541581585602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79996942 + ... + 79997618.

It is an arithmetic number, because the mean of its divisors is an integer number (493346700).

Almost surely, 254158158560 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 54158158560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94722566400).

54158158560 is an abundant number, since it is smaller than the sum of its proper divisors (135286974240).

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

54158158560 is a wasteful number, since it uses less digits than its factorization.

54158158560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 48.

The spelling of 54158158560 in words is "fifty-four billion, one hundred fifty-eight million, one hundred fifty-eight thousand, five hundred sixty".