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54135053145 = 32531111173463
BaseRepresentation
bin110010011010101100…
…110101101101011001
312011201202122122011100
4302122230311231121
51341332033200040
640511434022013
73624342234165
oct623254655531
9164652578140
1054135053145
1120a5a90a748
12a5a9877909
135149658c34
14289799bca5
15161c8e5b30
hexc9ab35b59

54135053145 has 48 divisors (see below), whose sum is σ = 94247292672. Its totient is φ = 28745124480.

The previous prime is 54135053131. The next prime is 54135053153.

54135053145 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 505 + 3 + 145 = 666.

54135053145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54135053145 - 212 = 54135049049 is a prime.

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, 15630684 + ... + 15634146.

It is an arithmetic number, because the mean of its divisors is an integer number (1963485264).

Almost surely, 254135053145 is an apocalyptic number.

It is an amenable number.

54135053145 is a deficient number, since it is larger than the sum of its proper divisors (40112239527).

54135053145 is a wasteful number, since it uses less digits than its factorization.

54135053145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 541350 and 53145, that added together give a palindrome (594495).

The spelling of 54135053145 in words is "fifty-four billion, one hundred thirty-five million, fifty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 311 933 1117 1555 2799 3351 3463 4665 5585 10053 10389 13995 16755 17315 31167 50265 51945 155835 347387 1042161 1076993 1736935 3126483 3230979 3868171 5210805 5384965 9692937 11604513 15632415 16154895 19340855 34813539 48464685 58022565 174067695 1203001181 3609003543 6015005905 10827010629 18045017715 54135053145