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54357989904 = 2432194292
BaseRepresentation
bin110010100111111111…
…010001101000010000
312012022022010222220100
4302213333101220100
51342311121134104
640545520212400
73633020201451
oct624777215020
9165268128810
1054357989904
11210647393a9
12a65046a100
1351838b428a
1428b9431128
151632281139
hexca7fd1a10

54357989904 has 45 divisors (see below), whose sum is σ = 152134704813. Its totient is φ = 18118397376.

The previous prime is 54357989899. The next prime is 54357989969. The reversal of 54357989904 is 40998975345.

The square root of 54357989904 is 233148.

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

54357989904 is a `hidden beast` number, since 54 + 3 + 579 + 8 + 9 + 9 + 0 + 4 = 666.

54357989904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 273836304 + 54084153600 = 16548^2 + 232560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2788062 + ... + 2807490.

Almost surely, 254357989904 is an apocalyptic number.

54357989904 is the 233148-th square number.

It is an amenable number.

54357989904 is an abundant number, since it is smaller than the sum of its proper divisors (97776714909).

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

54357989904 is an frugal number, since it uses more digits than its factorization.

54357989904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38872 (or 19434 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 54357989904 in words is "fifty-four billion, three hundred fifty-seven million, nine hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19429 38858 58287 77716 116574 155432 174861 233148 310864 349722 466296 699444 932592 1398888 2797776 377486041 754972082 1132458123 1509944164 2264916246 3019888328 3397374369 4529832492 6039776656 6794748738 9059664984 13589497476 18119329968 27178994952 54357989904