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256705250112 = 2633306748437
BaseRepresentation
bin1110111100010011010…
…0110100001101000000
3220112121020012212002000
43233010310310031000
513201213021000422
6313532340224000
724355252423623
oct3570464641500
9815536185060
10256705250112
119996046a973
124190209b000
131b2902b48cc
14c5d3163dba
156a2680ecac
hex3bc4d34340

256705250112 has 112 divisors (see below), whose sum is σ = 754927542720. Its totient is φ = 85538750976.

The previous prime is 256705250111. The next prime is 256705250147. The reversal of 256705250112 is 211052507652.

256705250112 is a `hidden beast` number, since 2 + 56 + 70 + 525 + 0 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256705250111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5275558 + ... + 5323994.

Almost surely, 2256705250112 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 256705250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377463771360).

256705250112 is an abundant number, since it is smaller than the sum of its proper divisors (498222292608).

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

256705250112 is a wasteful number, since it uses less digits than its factorization.

256705250112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51525 (or 51509 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 256705250112 its reverse (211052507652), we get a palindrome (467757757764).

The spelling of 256705250112 in words is "two hundred fifty-six billion, seven hundred five million, two hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3067 6134 9201 12268 18402 24536 27603 36804 48437 49072 55206 73608 82809 96874 98144 110412 145311 147216 165618 193748 196288 220824 290622 294432 331236 387496 435933 441648 581244 588864 662472 774992 871866 883296 1162488 1307799 1324944 1549984 1743732 1766592 2324976 2615598 2649888 3099968 3487464 4649952 5231196 5299776 6974928 9299904 10462392 13949856 20924784 27899712 41849568 83699136 148556279 297112558 445668837 594225116 891337674 1188450232 1337006511 1782675348 2376900464 2674013022 3565350696 4011019533 4753800928 5348026044 7130701392 8022039066 9507601856 10696052088 14261402784 16044078132 21392104176 28522805568 32088156264 42784208352 64176312528 85568416704 128352625056 256705250112