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129139008516 = 223271723297421
BaseRepresentation
bin111100001000101001…
…0001110010000000100
3110100022220211100100100
41320101102032100010
54103434041233031
6135154201044100
712221120314050
oct1702122162004
9410286740310
10129139008516
114a849670521
1221040486630
13c2406b860b
146370dc4c60
15355c48ede6
hex1e1148e404

129139008516 has 72 divisors (see below), whose sum is σ = 373286024384. Its totient is φ = 36875321280.

The previous prime is 129139008487. The next prime is 129139008571. The reversal of 129139008516 is 615800931921.

129139008516 is a `hidden beast` number, since 12 + 91 + 39 + 0 + 0 + 8 + 516 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285486 + ... + 582906.

Almost surely, 2129139008516 is an apocalyptic number.

It is an amenable number.

129139008516 is an abundant number, since it is smaller than the sum of its proper divisors (244147015868).

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

129139008516 is a wasteful number, since it uses less digits than its factorization.

129139008516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299161 (or 299156 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 129139008516 in words is "one hundred twenty-nine billion, one hundred thirty-nine million, eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1723 3446 5169 6892 10338 12061 15507 20676 24122 31014 36183 48244 62028 72366 108549 144732 217098 297421 434196 594842 892263 1189684 1784526 2081947 2676789 3569052 4163894 5353578 6245841 8327788 10707156 12491682 18737523 24983364 37475046 74950092 512456383 1024912766 1537369149 2049825532 3074738298 3587194681 4612107447 6149476596 7174389362 9224214894 10761584043 14348778724 18448429788 21523168086 32284752129 43046336172 64569504258 129139008516