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11055920256 = 27333199051
BaseRepresentation
bin10100100101111101…
…11111010010000000
31001112111122221102000
422102332333102000
5140120303422011
65025022424000
7540655525443
oct122276772200
931474587360
1011055920256
114763862587
122186732000
1310726a6664
1476c4a965a
1544a938356
hex292fbf480

11055920256 has 64 divisors (see below), whose sum is σ = 32630330400. Its totient is φ = 3685305600.

The previous prime is 11055920251. The next prime is 11055920269. The reversal of 11055920256 is 65202955011.

11055920256 is a `hidden beast` number, since 1 + 10 + 5 + 592 + 0 + 2 + 56 = 666.

11055920256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×110559202562 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11055920256.

It is not an unprimeable number, because it can be changed into a prime (11055920251) 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 7 ways as a sum of consecutive naturals, for example, 1596070 + ... + 1602981.

Almost surely, 211055920256 is an apocalyptic number.

11055920256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11055920256 is an abundant number, since it is smaller than the sum of its proper divisors (21574410144).

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

11055920256 is an equidigital number, since it uses as much as digits as its factorization.

11055920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199074 (or 3199056 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 11055920256 in words is "eleven billion, fifty-five million, nine hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 3199051 6398102 9597153 12796204 19194306 25592408 28791459 38388612 51184816 57582918 76777224 86374377 102369632 115165836 153554448 172748754 204739264 230331672 307108896 345497508 409478528 460663344 614217792 690995016 921326688 1228435584 1381990032 1842653376 2763980064 3685306752 5527960128 11055920256