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54225312577 = 839724127947
BaseRepresentation
bin110010100000000101…
…001001101101000001
312011222001111021211021
4302200011021231001
51342023140000302
640524420345441
73626516360212
oct624005115501
9164861437737
1054225312577
1120aa6858a17
12a613b45281
13516226bc97
1428a5975409
1516257c4437
hexca0149b41

54225312577 has 16 divisors (see below), whose sum is σ = 55676440512. Its totient is φ = 52797818880.

The previous prime is 54225312571. The next prime is 54225312619. The reversal of 54225312577 is 77521352245.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54225312577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54225312571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926318 + ... + 1954264.

It is an arithmetic number, because the mean of its divisors is an integer number (3479777532).

Almost surely, 254225312577 is an apocalyptic number.

It is an amenable number.

54225312577 is a deficient number, since it is larger than the sum of its proper divisors (1451127935).

54225312577 is a wasteful number, since it uses less digits than its factorization.

54225312577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28368.

The product of its digits is 588000, while the sum is 43.

The spelling of 54225312577 in words is "fifty-four billion, two hundred twenty-five million, three hundred twelve thousand, five hundred seventy-seven".

Divisors: 1 83 97 241 8051 20003 23377 27947 1940291 2319601 2710859 6735227 225001297 559023841 653317019 54225312577