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54171631504 = 2431218772
BaseRepresentation
bin110010011100111000…
…010111111110010000
312011211022111000020101
4302130320113332100
51341420414202004
640515222022144
73625265161504
oct623470277620
9164738430211
1054171631504
1120a795235a1
12a5b9b77954
1351540c5233
14289c7a0304
151620c1dba4
hexc9ce17f90

54171631504 has 45 divisors (see below), whose sum is σ = 108510290481. Its totient is φ = 26198114880.

The previous prime is 54171631499. The next prime is 54171631511. The reversal of 54171631504 is 40513617145.

The square root of 54171631504 is 232748.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33907539600 + 20264091904 = 184140^2 + 142352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28859814 + ... + 28861690.

Almost surely, 254171631504 is an apocalyptic number.

54171631504 is the 232748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54171631504

54171631504 is an abundant number, since it is smaller than the sum of its proper divisors (54338658977).

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

54171631504 is an frugal number, since it uses more digits than its factorization.

54171631504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 54171631504 in words is "fifty-four billion, one hundred seventy-one million, six hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1877 1922 3754 3844 7508 7688 15016 15376 30032 58187 116374 232748 465496 930992 1803797 3523129 3607594 7046258 7215188 14092516 14430376 28185032 28860752 56370064 109216999 218433998 436867996 873735992 1747471984 3385726969 6771453938 13542907876 27085815752 54171631504