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11102392896 = 263714955441
BaseRepresentation
bin10100101011100000…
…10001001001000000
31001122202002222212220
422111300101021000
5140214203033041
65033402451040
7542061532260
oct122560211100
931582088786
1011102392896
114788014121
12219a203a80
13107c1c836a
147747257a0
1544ea67d66
hex295c11240

11102392896 has 112 divisors (see below), whose sum is σ = 33797443200. Its totient is φ = 3150766080.

The previous prime is 11102392879. The next prime is 11102392907. The reversal of 11102392896 is 69829320111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172536 + ... + 227976.

Almost surely, 211102392896 is an apocalyptic number.

11102392896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898721600).

11102392896 is an abundant number, since it is smaller than the sum of its proper divisors (22695050304).

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

11102392896 is a wasteful number, since it uses less digits than its factorization.

11102392896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55612 (or 55602 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 11102392896 in words is "eleven billion, one hundred two million, three hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 149 168 192 224 298 336 447 448 596 672 894 1043 1192 1344 1788 2086 2384 3129 3576 4172 4768 6258 7152 8344 9536 12516 14304 16688 25032 28608 33376 50064 55441 66752 100128 110882 166323 200256 221764 332646 388087 443528 665292 776174 887056 1164261 1330584 1552348 1774112 2328522 2661168 3104696 3548224 4657044 5322336 6209392 8260709 9314088 10644672 12418784 16521418 18628176 24782127 24837568 33042836 37256352 49564254 57824963 66085672 74512704 99128508 115649926 132171344 173474889 198257016 231299852 264342688 346949778 396514032 462599704 528685376 693899556 793028064 925199408 1387799112 1586056128 1850398816 2775598224 3700797632 5551196448 11102392896