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54143860096 = 27597339781
BaseRepresentation
bin110010011011001110…
…011011110110000000
312011202101020002000201
4302123032123312000
51341341312010341
640512350454544
73624510134344
oct623316336600
9164671202021
1054143860096
1120a64885517
12a5b0804454
13514b420751
142898c11624
15161d585331
hexc9b39bd80

54143860096 has 64 divisors (see below), whose sum is σ = 109853816400. Its totient is φ = 26574059520.

The previous prime is 54143860087. The next prime is 54143860097. The reversal of 54143860096 is 69006834145.

54143860096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×541438600962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54143860097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5530726 + ... + 5540506.

Almost surely, 254143860096 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 54143860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54926908200).

54143860096 is an abundant number, since it is smaller than the sum of its proper divisors (55709956304).

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

54143860096 is an equidigital number, since it uses as much as digits as its factorization.

54143860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10587 (or 10575 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 54143860096 in words is "fifty-four billion, one hundred forty-three million, eight hundred sixty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 733 944 1466 1888 2932 3776 5864 7552 9781 11728 19562 23456 39124 43247 46912 78248 86494 93824 156496 172988 312992 345976 577079 625984 691952 1154158 1251968 1383904 2308316 2767808 4616632 5535616 7169473 9233264 14338946 18466528 28677892 36933056 57355784 73866112 114711568 229423136 422998907 458846272 845997814 917692544 1691995628 3383991256 6767982512 13535965024 27071930048 54143860096