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51672540384 = 253359806181
BaseRepresentation
bin110000000111111011…
…000110010011100000
311221101011000000201000
4300013323012103200
51321311132243014
635423225512000
73506331226533
oct600773062340
9157334000630
1051672540384
111aa06890433
12a021042600
134b464236aa
142702908a1a
151526622509
hexc07ec64e0

51672540384 has 48 divisors (see below), whose sum is σ = 150711578640. Its totient is φ = 17224179840.

The previous prime is 51672540313. The next prime is 51672540401. The reversal of 51672540384 is 48304527615.

51672540384 is a `hidden beast` number, since 5 + 1 + 6 + 72 + 540 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×516725403842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29902227 + ... + 29903954.

It is an arithmetic number, because the mean of its divisors is an integer number (3139824555).

Almost surely, 251672540384 is an apocalyptic number.

51672540384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

51672540384 is an abundant number, since it is smaller than the sum of its proper divisors (99039038256).

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

51672540384 is a wasteful number, since it uses less digits than its factorization.

51672540384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59806200 (or 59806186 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 51672540384 in words is "fifty-one billion, six hundred seventy-two million, five hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 59806181 119612362 179418543 239224724 358837086 478449448 538255629 717674172 956898896 1076511258 1435348344 1614766887 1913797792 2153022516 2870696688 3229533774 4306045032 5741393376 6459067548 8612090064 12918135096 17224180128 25836270192 51672540384