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129715631712 = 253589187433
BaseRepresentation
bin111100011001110100…
…1110111011001100000
3110101211002211211200000
41320303221313121200
54111124200203322
6135331320100000
712241321451202
oct1706351673140
9411732754600
10129715631712
1150015102017
1221181604600
13c302cbaa84
1463c7804772
153592de13ac
hex1e33a77660

129715631712 has 144 divisors (see below), whose sum is σ = 386841283920. Its totient is φ = 42752489472.

The previous prime is 129715631701. The next prime is 129715631719. The reversal of 129715631712 is 217136517921.

129715631712 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 1 + 5 + 631 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1297156317122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129715631719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598348 + ... + 785780.

It is an arithmetic number, because the mean of its divisors is an integer number (2686397805).

Almost surely, 2129715631712 is an apocalyptic number.

129715631712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129715631712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193420641960).

129715631712 is an abundant number, since it is smaller than the sum of its proper divisors (257125652208).

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

129715631712 is an equidigital number, since it uses as much as digits as its factorization.

129715631712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187547 (or 187527 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The spelling of 129715631712 in words is "one hundred twenty-nine billion, seven hundred fifteen million, six hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 89 96 108 144 162 178 216 243 267 288 324 356 432 486 534 648 712 801 864 972 1068 1296 1424 1602 1944 2136 2403 2592 2848 3204 3888 4272 4806 6408 7209 7776 8544 9612 12816 14418 19224 21627 25632 28836 38448 43254 57672 76896 86508 115344 173016 187433 230688 346032 374866 562299 692064 749732 1124598 1499464 1686897 2249196 2998928 3373794 4498392 5060691 5997856 6747588 8996784 10121382 13495176 15182073 16681537 17993568 20242764 26990352 30364146 33363074 40485528 45546219 50044611 53980704 60728292 66726148 80971056 91092438 100089222 121456584 133452296 150133833 161942112 182184876 200178444 242913168 266904592 300267666 364369752 400356888 450401499 485826336 533809184 600535332 728739504 800713776 900802998 1201070664 1351204497 1457479008 1601427552 1801605996 2402141328 2702408994 3603211992 4053613491 4804282656 5404817988 7206423984 8107226982 10809635976 14412847968 16214453964 21619271952 32428907928 43238543904 64857815856 129715631712