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129357120508 = 2271112727112203
BaseRepresentation
bin111100001111001001…
…0010000001111111100
3110100220010020120202021
41320132102100033330
54104410410324013
6135231552005524
712226406245060
oct1703622201774
9410803216667
10129357120508
114a9507a4270
12210a15308a4
13c276944875
146391d5daa0
1535716c5a8d
hex1e1e4903fc

129357120508 has 96 divisors (see below), whose sum is σ = 285529079808. Its totient is φ = 49813444800.

The previous prime is 129357120491. The next prime is 129357120523. The reversal of 129357120508 is 805021753921.

It is a happy number.

It is a super-2 number, since 2×1293571205082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10594335 + ... + 10606537.

It is an arithmetic number, because the mean of its divisors is an integer number (2974261248).

Almost surely, 2129357120508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129357120508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142764539904).

129357120508 is an abundant number, since it is smaller than the sum of its proper divisors (156171959300).

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

129357120508 is a wasteful number, since it uses less digits than its factorization.

129357120508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12623 (or 12621 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 129357120508 in words is "one hundred twenty-nine billion, three hundred fifty-seven million, one hundred twenty thousand, five hundred eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 271 308 508 542 889 1084 1397 1778 1897 2794 2981 3556 3794 5588 5962 7588 9779 11924 12203 19558 20867 24406 34417 39116 41734 48812 68834 83468 85421 134233 137668 170842 240919 268466 341684 378587 481838 536932 757174 939631 963676 1514348 1549781 1879262 2650109 3099562 3307013 3758524 5300218 6199124 6614026 10600436 10848467 13228052 17047591 21696934 23149091 34095182 36377143 43393868 46298182 68190364 72754286 92596364 119333137 145508572 238666274 254640001 419990651 477332548 509280002 839981302 1018560004 1679962604 2939934557 4619897161 5879869114 9239794322 11759738228 18479588644 32339280127 64678560254 129357120508