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129134530512 = 24321325306317
BaseRepresentation
bin111100001000100000…
…1001000111111010000
3110100022121101211200100
41320101001020333100
54103431414434022
6135153521052400
712221034253461
oct1702101107720
9410277354610
10129134530512
114a847092099
122103aa87100
13c23c7ab300
14637057ad68
15355bda81ac
hex1e11048fd0

129134530512 has 90 divisors (see below), whose sum is σ = 391335646182. Its totient is φ = 39733694208.

The previous prime is 129134530463. The next prime is 129134530513. The reversal of 129134530512 is 215035431921.

It is a happy number.

129134530512 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 345 + 305 + 1 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14107738176 + 115026792336 = 118776^2 + 339156^2 .

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 (129134530513) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2628823 + ... + 2677494.

Almost surely, 2129134530512 is an apocalyptic number.

129134530512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129134530512 is an abundant number, since it is smaller than the sum of its proper divisors (262201115670).

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

129134530512 is a wasteful number, since it uses less digits than its factorization.

129134530512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306357 (or 5306335 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 129134530512 in words is "one hundred twenty-nine billion, one hundred thirty-four million, five hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 5306317 10612634 15918951 21225268 31837902 42450536 47756853 63675804 68982121 84901072 95513706 127351608 137964242 191027412 206946363 254703216 275928484 382054824 413892726 551856968 620839089 764109648 827785452 896767573 1103713936 1241678178 1655570904 1793535146 2483356356 2690302719 3311141808 3587070292 4966712712 5380605438 7174140584 8070908157 9933425424 10761210876 14348281168 16141816314 21522421752 32283632628 43044843504 64567265256 129134530512