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11286894971456 = 261331437612243
BaseRepresentation
bin1010010000111110111101…
…0111011000101001000000
31110222000110010011021111222
42210033233113120221000
52434411030103041311
640001043350254212
72243310531203456
oct244175727305100
943860403137458
1011286894971456
113661821a65305
121323586357368
1363b4711996b0
142b040800c9d6
151488e85bbadb
hexa43ef5d8a40

11286894971456 has 56 divisors (see below), whose sum is σ = 24898386234624. Its totient is φ = 5041293027840.

The previous prime is 11286894971369. The next prime is 11286894971477. The reversal of 11286894971456 is 65417949868211.

It is a self number, because there is not a number n which added to its sum of digits gives 11286894971456.

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, 218780330 + ... + 218831913.

It is an arithmetic number, because the mean of its divisors is an integer number (444614039904).

Almost surely, 211286894971456 is an apocalyptic number.

11286894971456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11286894971456 is an abundant number, since it is smaller than the sum of its proper divisors (13611491263168).

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

11286894971456 is a wasteful number, since it uses less digits than its factorization.

11286894971456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437612299 (or 437612289 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 71.

The spelling of 11286894971456 in words is "eleven trillion, two hundred eighty-six billion, eight hundred ninety-four million, nine hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 3224 6448 12896 25792 437612243 875224486 1750448972 3500897944 5688959159 7001795888 11377918318 13565979533 14003591776 22755836636 27131959066 28007183552 45511673272 54263918132 91023346544 108527836264 176357733929 182046693088 217055672528 352715467858 364093386176 434111345056 705430935716 868222690112 1410861871432 2821723742864 5643447485728 11286894971456