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51193740312 = 233311131657399
BaseRepresentation
bin101111101011011000…
…100111110000011000
311220010210001110111000
4233223120213300120
51314321044142222
635303523305000
73461425420131
oct575330476030
9156123043430
1051193740312
111a7905938a0
129b0881b160
134a9b181c40
1426990b0c88
1514e95959ac
hexbeb627c18

51193740312 has 128 divisors (see below), whose sum is σ = 167065920000. Its totient is φ = 14319918720.

The previous prime is 51193740307. The next prime is 51193740317. The reversal of 51193740312 is 21304739115.

51193740312 is a `hidden beast` number, since 51 + 193 + 7 + 403 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (51193740307) and next prime (51193740317).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51193740317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 797812 + ... + 859587.

It is an arithmetic number, because the mean of its divisors is an integer number (1305202500).

Almost surely, 251193740312 is an apocalyptic number.

51193740312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

51193740312 is an abundant number, since it is smaller than the sum of its proper divisors (115872179688).

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

51193740312 is a wasteful number, since it uses less digits than its factorization.

51193740312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657438 (or 1657428 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 51193740312 in words is "fifty-one billion, one hundred ninety-three million, seven hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2376 2574 2808 3432 3861 5148 7722 10296 15444 30888 1657399 3314798 4972197 6629596 9944394 13259192 14916591 18231389 19888788 21546187 29833182 36462778 39777576 43092374 44749773 54694167 59666364 64638561 72925556 86184748 89499546 109388334 119332728 129277122 145851112 164082501 172369496 178999092 193915683 218776668 237008057 258554244 328165002 357998184 387831366 437553336 474016114 492247503 517108488 581747049 656330004 711024171 775662732 948032228 984495006 1163494098 1312660008 1422048342 1551325464 1896064456 1968990012 2133072513 2326988196 2844096684 3937980024 4266145026 4653976392 5688193368 6399217539 8532290052 12798435078 17064580104 25596870156 51193740312