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12639015140130 = 23251672806929959
BaseRepresentation
bin1011011111101100000000…
…0000011111101100100010
31122202021111200210122000200
42313323000000133230202
53124034200333441010
642514141114130030
72443065402045531
oct267730000375442
948667450718020
1012639015140130
1140331a3603665
121501638720916
13708b14363812
14319a35704318
1516db83084cc0
hexb7ec001fb22

12639015140130 has 96 divisors (see below), whose sum is σ = 33060495686400. Its totient is φ = 3349990797696.

The previous prime is 12639015140123. The next prime is 12639015140137. The reversal of 12639015140130 is 3104151093621.

12639015140130 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 9 + 0 + 1 + 514 + 0 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (12639015140123) and next prime (12639015140137).

It is not an unprimeable number, because it can be changed into a prime (12639015140137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421862091 + ... + 421892049.

It is an arithmetic number, because the mean of its divisors is an integer number (344380163400).

Almost surely, 212639015140130 is an apocalyptic number.

12639015140130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12639015140130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16530247843200).

12639015140130 is an abundant number, since it is smaller than the sum of its proper divisors (20421480546270).

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

12639015140130 is a wasteful number, since it uses less digits than its factorization.

12639015140130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58208 (or 58205 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12639015140130 in words is "twelve trillion, six hundred thirty-nine billion, fifteen million, one hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 501 835 1002 1503 1670 2505 3006 5010 7515 15030 28069 29959 56138 59918 84207 89877 140345 149795 168414 179754 252621 269631 280690 299590 421035 449385 505242 539262 842070 898770 1263105 1348155 2526210 2696310 4687523 5003153 9375046 10006306 14062569 15009459 23437615 25015765 28125138 30018918 42187707 45028377 46875230 50031530 70312845 75047295 84375414 90056754 140625690 150094590 210938535 225141885 421877070 450283770 840919171 1681838342 2522757513 4204595855 5045515026 7568272539 8409191710 12613787565 15136545078 25227575130 37841362695 75682725390 140433501557 280867003114 421300504671 702167507785 842601009342 1263901514013 1404335015570 2106502523355 2527803028026 4213005046710 6319507570065 12639015140130