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902945140656 = 2431310971319077
BaseRepresentation
bin11010010001110111011…
…10010110111110110000
310012022122210120201200220
431020323232112332300
5104243212424000111
61530450212013040
7122143552026306
oct15107356267660
93168583521626
10902945140656
11318a33aa0639
12126bb6601180
13671bb9a34a0
14319ba5cc276
151874ad85e06
hexd23bb96fb0

902945140656 has 80 divisors (see below), whose sum is σ = 2514331509984. Its totient is φ = 277575800832.

The previous prime is 902945140627. The next prime is 902945140667. The reversal of 902945140656 is 656041549209.

It is a super-2 number, since 2×9029451406562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 902945140599 and 902945140608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24990 + ... + 1344066.

Almost surely, 2902945140656 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 902945140656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257165754992).

902945140656 is an abundant number, since it is smaller than the sum of its proper divisors (1611386369328).

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

902945140656 is a wasteful number, since it uses less digits than its factorization.

902945140656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320198 (or 1320192 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 902945140656 in words is "nine hundred two billion, nine hundred forty-five million, one hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1097 2194 3291 4388 6582 8776 13164 14261 17552 26328 28522 42783 52656 57044 85566 114088 171132 228176 342264 684528 1319077 2638154 3957231 5276308 7914462 10552616 15828924 17148001 21105232 31657848 34296002 51444003 63315696 68592004 102888006 137184008 205776012 274368016 411552024 823104048 1447027469 2894054938 4341082407 5788109876 8682164814 11576219752 17364329628 18811357097 23152439504 34728659256 37622714194 56434071291 69457318512 75245428388 112868142582 150490856776 225736285164 300981713552 451472570328 902945140656