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129710518304016 = 24313369315628589
BaseRepresentation
bin11101011111100010010101…
…010111011111110100010000
3122000021012112001010110121010
4131133202111113133310100
5114000134120141212031
61135512104532330520
736215163363661356
oct3537422527376420
9560235461113533
10129710518304016
1138369a16044471
121266a926173a40
13574b859937310
142406045d7b7d6
15eee105529246
hex75f8955dfd10

129710518304016 has 80 divisors (see below), whose sum is σ = 360871149087680. Its totient is φ = 39909840929280.

The previous prime is 129710518303937. The next prime is 129710518304023. The reversal of 129710518304016 is 610403815017921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20230650 + ... + 25859238.

It is an arithmetic number, because the mean of its divisors is an integer number (4510889363596).

It is a 1-persistent number, because it is pandigital, but 2⋅129710518304016 = 259421036608032 is not.

Almost surely, 2129710518304016 is an apocalyptic number.

129710518304016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129710518304016 is an abundant number, since it is smaller than the sum of its proper divisors (231160630783664).

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

129710518304016 is a wasteful number, since it uses less digits than its factorization.

129710518304016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665544 (or 5665538 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 129710518304016 in words is "one hundred twenty-nine trillion, seven hundred ten billion, five hundred eighteen million, three hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 36931 73862 110793 147724 221586 295448 443172 480103 590896 886344 960206 1440309 1772688 1920412 2880618 3840824 5628589 5761236 7681648 11257178 11522472 16885767 22514356 23044944 33771534 45028712 67543068 73171657 90057424 135086136 146343314 219514971 270172272 292686628 439029942 585373256 878059884 1170746512 1756119768 3512239536 207869420359 415738840718 623608261077 831477681436 1247216522154 1662955362872 2494433044308 2702302464667 3325910725744 4988866088616 5404604929334 8106907394001 9977732177232 10809209858668 16213814788002 21618419717336 32427629576004 43236839434672 64855259152008 129710518304016