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54085348944 = 24331111381597
BaseRepresentation
bin110010010111101111…
…001110111001010000
312011121022010101211000
4302113233032321100
51341231322131234
640502500422000
73623166611034
oct622757167120
9164538111730
1054085348944
1120a348511a0
12a5950a7900
13513c275373
1428911401c4
151618378899
hexc97bcee50

54085348944 has 80 divisors (see below), whose sum is σ = 169358178240. Its totient is φ = 16389498240.

The previous prime is 54085348901. The next prime is 54085348951. The reversal of 54085348944 is 44984358045.

54085348944 is a `hidden beast` number, since 5 + 40 + 85 + 3 + 489 + 44 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5686047 + ... + 5695550.

It is an arithmetic number, because the mean of its divisors is an integer number (2116977228).

Almost surely, 254085348944 is an apocalyptic number.

54085348944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54085348944 is an abundant number, since it is smaller than the sum of its proper divisors (115272829296).

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

54085348944 is a wasteful number, since it uses less digits than its factorization.

54085348944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11381625 (or 11381613 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 54085348944 in words is "fifty-four billion, eighty-five million, three hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 11381597 22763194 34144791 45526388 68289582 91052776 102434373 125197567 136579164 182105552 204868746 250395134 273158328 307303119 375592701 409737492 500790268 546316656 614606238 751185402 819474984 1001580536 1126778103 1229212476 1502370804 1638949968 2003161072 2253556206 2458424952 3004741608 3380334309 4507112412 4916849904 6009483216 6760668618 9014224824 13521337236 18028449648 27042674472 54085348944