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54377968806 = 23273113921651
BaseRepresentation
bin110010101001001011…
…011111010010100110
312012100200202000210200
4302221023133102212
51342331230000211
640551512331330
73633352052130
oct625113372246
9165320660720
1054377968806
1121074a44897
12a6570a3b46
135187a8ac05
1428bbd52050
151633dcab56
hexca92df4a6

54377968806 has 48 divisors (see below), whose sum is σ = 138993773568. Its totient is φ = 15035382000.

The previous prime is 54377968793. The next prime is 54377968829. The reversal of 54377968806 is 60886977345.

54377968806 is a `hidden beast` number, since 543 + 7 + 7 + 9 + 6 + 8 + 80 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6956920 + ... + 6964731.

It is an arithmetic number, because the mean of its divisors is an integer number (2895703616).

Almost surely, 254377968806 is an apocalyptic number.

54377968806 is an abundant number, since it is smaller than the sum of its proper divisors (84615804762).

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

54377968806 is a wasteful number, since it uses less digits than its factorization.

54377968806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921697 (or 13921694 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 54377968806 in words is "fifty-four billion, three hundred seventy-seven million, nine hundred sixty-eight thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 13921651 27843302 41764953 83529906 97451557 125294859 194903114 250589718 292354671 431571181 584709342 863142362 877064013 1294713543 1754128026 2589427086 3020998267 3884140629 6041996534 7768281258 9062994801 18125989602 27188984403 54377968806