Search a number
-
+
256626132235520 = 2851671200533927
BaseRepresentation
bin111010010110011001101101…
…011100111011010100000000
31020122122012220101121001001112
4322112121231130323110000
5232114030304323014040
62305444230112422452
7105024424534531535
oct7226315534732400
91218565811531045
10256626132235520
1174850593465743
1224947a44547a28
13b0269819619a8
144752ab1b78d8c
151ea067bcc9365
hexe9666d73b500

256626132235520 has 72 divisors (see below), whose sum is σ = 618380619905664. Its totient is φ = 102035779438592.

The previous prime is 256626132235513. The next prime is 256626132235597. The reversal of 256626132235520 is 25532231626652.

256626132235520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600053204 + ... + 600480723.

It is an arithmetic number, because the mean of its divisors is an integer number (8588619720912).

Almost surely, 2256626132235520 is an apocalyptic number.

256626132235520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256626132235520 is an abundant number, since it is smaller than the sum of its proper divisors (361754487670144).

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

256626132235520 is a wasteful number, since it uses less digits than its factorization.

256626132235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200534115 (or 1200534101 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 50.

The spelling of 256626132235520 in words is "two hundred fifty-six trillion, six hundred twenty-six billion, one hundred thirty-two million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 256 320 334 640 668 835 1280 1336 1670 2672 3340 5344 6680 10688 13360 21376 26720 42752 53440 106880 213760 1200533927 2401067854 4802135708 6002669635 9604271416 12005339270 19208542832 24010678540 38417085664 48021357080 76834171328 96042714160 153668342656 192085428320 200489165809 307336685312 384170856640 400978331618 768341713280 801956663236 1002445829045 1536683426560 1603913326472 2004891658090 3207826652944 4009783316180 6415653305888 8019566632360 12831306611776 16039133264720 25662613223552 32078266529440 51325226447104 64156533058880 128313066117760 256626132235520