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3412497574512 = 2433133716422661
BaseRepresentation
bin110001101010001000101…
…101001010101001110000
3110002020020211020012201000
4301222020231022221300
5421402243334341022
611131402454042000
7501354604534305
oct61521055125160
913066224205630
103412497574512
1110a6260a0a854
12471446649300
131b9a49418b40
14bb246bdb0ac
155db783e76ac
hex31a88b4aa70

3412497574512 has 160 divisors (see below), whose sum is σ = 10833701668160. Its totient is φ = 1021620833280.

The previous prime is 3412497574459. The next prime is 3412497574513. The reversal of 3412497574512 is 2154757942143.

3412497574512 is a `hidden beast` number, since 3 + 4 + 12 + 4 + 9 + 7 + 574 + 51 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412497574513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8003539 + ... + 8419122.

It is an arithmetic number, because the mean of its divisors is an integer number (67710635426).

Almost surely, 23412497574512 is an apocalyptic number.

It is an amenable number.

3412497574512 is an abundant number, since it is smaller than the sum of its proper divisors (7421204093648).

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

3412497574512 is a wasteful number, since it uses less digits than its factorization.

3412497574512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16422728 (or 16422716 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 3412497574512 in words is "three trillion, four hundred twelve billion, four hundred ninety-seven million, five hundred seventy-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 37 39 48 52 54 72 74 78 104 108 111 117 144 148 156 208 216 222 234 296 312 333 351 432 444 468 481 592 624 666 702 888 936 962 999 1332 1404 1443 1776 1872 1924 1998 2664 2808 2886 3848 3996 4329 5328 5616 5772 7696 7992 8658 11544 12987 15984 17316 23088 25974 34632 51948 69264 103896 207792 16422661 32845322 49267983 65690644 98535966 131381288 147803949 197071932 213494593 262762576 295607898 394143864 426989186 443411847 591215796 607638457 640483779 788287728 853978372 886823694 1182431592 1215276914 1280967558 1707956744 1773647388 1822915371 1921451337 2364863184 2430553828 2561935116 3415913488 3547294776 3645830742 3842902674 4861107656 5123870232 5468746113 5764354011 7094589552 7291661484 7685805348 7899299941 9722215312 10247740464 10937492226 11528708022 14583322968 15371610696 15798599882 16406238339 21874984452 23057416044 23697899823 29166645936 30743221392 31597199764 32812476678 43749968904 46114832088 47395799646 63194399528 65624953356 71093699469 87499937808 92229664176 94791599292 126388799056 131249906712 142187398938 189583198584 213281098407 262499813424 284374797876 379166397168 426562196814 568749595752 853124393628 1137499191504 1706248787256 3412497574512