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129313764720 = 24325725657493
BaseRepresentation
bin111100001101110110…
…0110111010101110000
3110100210002122212210100
41320123230313111300
54104313310432340
6135223402432400
712225341602260
oct1703354672560
9410702585710
10129313764720
114a929281438
122108ab02700
13c26a97475a
14638a2b57a0
15356c9ae830
hex1e1bb37570

129313764720 has 120 divisors (see below), whose sum is σ = 496318563936. Its totient is φ = 29557430784.

The previous prime is 129313764677. The next prime is 129313764721. The reversal of 129313764720 is 27467313921.

129313764720 is a `hidden beast` number, since 12 + 93 + 13 + 76 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129313764721) 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, 12823707 + ... + 12833786.

Almost surely, 2129313764720 is an apocalyptic number.

129313764720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129313764720 is an abundant number, since it is smaller than the sum of its proper divisors (367004799216).

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

129313764720 is a wasteful number, since it uses less digits than its factorization.

129313764720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25657519 (or 25657510 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 129313764720 in words is "one hundred twenty-nine billion, three hundred thirteen million, seven hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 25657493 51314986 76972479 102629972 128287465 153944958 179602451 205259944 230917437 256574930 307889916 359204902 384862395 410519888 461834874 513149860 538807353 615779832 718409804 769724790 898012255 923669748 1026299720 1077614706 1154587185 1231559664 1436819608 1539449580 1616422059 1796024510 1847339496 2052599440 2155229412 2309174370 2694036765 2873639216 3078899160 3232844118 3592049020 3694678992 4310458824 4618348740 5388073530 6157798320 6465688236 7184098040 8082110295 8620917648 9236697480 10776147060 12931376472 14368196080 16164220590 18473394960 21552294120 25862752944 32328441180 43104588240 64656882360 129313764720