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56023210413126 = 2321117140911812529
BaseRepresentation
bin11001011110011111010111…
…00011100100110001000110
321100100202200212011222011200
430233033223203210301012
524320341013331210001
6315052412500043330
714541354244246245
oct1457175343446106
9240322625158150
1056023210413126
111693a345835450
12634980b993546
132534c73603b28
14db9775c1895c
1567245b61c086
hex32f3eb8e4c46

56023210413126 has 96 divisors (see below), whose sum is σ = 140307341335200. Its totient is φ = 15966757847040.

The previous prime is 56023210413101. The next prime is 56023210413127. The reversal of 56023210413126 is 62131401232065.

56023210413126 is a `hidden beast` number, since 5 + 6 + 0 + 2 + 3 + 210 + 413 + 1 + 26 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56023210413127) 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, 1163571 + ... + 10648958.

It is an arithmetic number, because the mean of its divisors is an integer number (1461534805575).

Almost surely, 256023210413126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56023210413126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70153670667600).

56023210413126 is an abundant number, since it is smaller than the sum of its proper divisors (84284130922074).

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

56023210413126 is a wasteful number, since it uses less digits than its factorization.

56023210413126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813974 (or 11813971 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 56023210413126 in words is "fifty-six trillion, twenty-three billion, two hundred ten million, four hundred thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1409 1683 2818 3366 4227 8454 12681 15499 23953 25362 30998 46497 47906 71859 92994 139491 143718 215577 263483 278982 431154 526966 790449 1580898 2371347 4742694 11812529 23625058 35437587 70875174 106312761 129937819 200812993 212625522 259875638 389813457 401625986 602438979 779626914 1169440371 1204877958 1807316937 2208942923 2338880742 3614633874 4417885846 6626828769 13253657538 16643853361 19880486307 33287706722 39760972614 49931560083 99863120166 149794680249 183082386971 282945507137 299589360498 366164773942 549247160913 565891014274 848836521411 1098494321826 1647741482739 1697673042822 2546509564233 3112400578507 3295482965478 5093019128466 6224801157014 9337201735521 18674403471042 28011605206563 56023210413126