Search a number
-
+
12970687626 = 234137698009
BaseRepresentation
bin11000001010001110…
…01111110010001010
31020110221122012110000
430011013033302022
5203030444001001
65543022503430
7636266011551
oct140507176212
936427565400
1012970687626
115556684656
12261ba34b76
1312b92aa9c0
148b08d8d98
1550dab1a86
hex3051cfc8a

12970687626 has 80 divisors (see below), whose sum is σ = 31344251400. Its totient is φ = 3985293312.

The previous prime is 12970687579. The next prime is 12970687633. The reversal of 12970687626 is 62678607921.

12970687626 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 0 + 6 + 8 + 7 + 626 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9213120225 + 3757567401 = 95985^2 + 61299^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1615510 + ... + 1623518.

Almost surely, 212970687626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12970687626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672125700).

12970687626 is an abundant number, since it is smaller than the sum of its proper divisors (18373563774).

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

12970687626 is a wasteful number, since it uses less digits than its factorization.

12970687626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8805 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 12970687626 in words is "twelve billion, nine hundred seventy million, six hundred eighty-seven thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 769 1053 1538 2106 2307 4614 6921 8009 9997 13842 16018 19994 20763 24027 29991 41526 48054 59982 62289 72081 89973 104117 124578 144162 179946 208234 216243 269919 312351 432486 539838 624702 648729 809757 937053 1297458 1619514 1874106 2811159 5622318 6158921 8433477 12317842 16866954 18476763 36953526 55430289 80065973 110860578 160131946 166290867 240197919 332581734 480395838 498872601 720593757 997745202 1441187514 2161781271 4323562542 6485343813 12970687626