Search a number
-
+
56269408641690 = 2358344950329969
BaseRepresentation
bin11001100101101001111100…
…00111010010001010011010
321101020022011211120211022110
430302310332013102022122
524333404222103013230
6315401450502333150
714565221254541256
oct1462647607221232
9241208154524273
1056269408641690
1116a247a4268532
12638947b12a1b6
13255224ab5820a
14dc764d757266
15678a6a7ba4b0
hex332d3e1d229a

56269408641690 has 64 divisors (see below), whose sum is σ = 136978046352000. Its totient is φ = 14791373635584.

The previous prime is 56269408641613. The next prime is 56269408641701. The reversal of 56269408641690 is 9614680496265.

56269408641690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562694086416902 (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 24046975 + ... + 26282994.

It is an arithmetic number, because the mean of its divisors is an integer number (2140281974250).

Almost surely, 256269408641690 is an apocalyptic number.

56269408641690 is an abundant number, since it is smaller than the sum of its proper divisors (80708637710310).

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

56269408641690 is a wasteful number, since it uses less digits than its factorization.

56269408641690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50330511.

The product of its (nonzero) digits is 134369280, while the sum is 66.

The spelling of 56269408641690 in words is "fifty-six trillion, two hundred sixty-nine billion, four hundred eight million, six hundred forty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 449 498 830 898 1245 1347 2245 2490 2694 4490 6735 13470 37267 74534 111801 186335 223602 372670 559005 1118010 50329969 100659938 150989907 251649845 301979814 503299690 754949535 1509899070 4177387427 8354774854 12532162281 20886937135 22598156081 25064324562 41773874270 45196312162 62660811405 67794468243 112990780405 125321622810 135588936486 225981560810 338972341215 677944682430 1875646954723 3751293909446 5626940864169 9378234773615 11253881728338 18756469547230 28134704320845 56269408641690