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11100561056 = 251328194961
BaseRepresentation
bin10100101011010010…
…10001111010100000
31001122121122221001222
422111221101322200
5140213220423211
65033255314212
7542040132524
oct122551217240
931577587058
1011100561056
114786a82902
12219967b968
13107ba06630
147743a9d84
1544e8051db
hex295a51ea0

11100561056 has 48 divisors (see below), whose sum is σ = 23619328488. Its totient is φ = 5105049600.

The previous prime is 11100561037. The next prime is 11100561061. The reversal of 11100561056 is 65016500111.

It can be written as a sum of positive squares in 4 ways, for example, as 10427677456 + 672883600 = 102116^2 + 25940^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 69416 + ... + 164376.

Almost surely, 211100561056 is an apocalyptic number.

11100561056 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 11100561056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11809664244).

11100561056 is an abundant number, since it is smaller than the sum of its proper divisors (12518767432).

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

11100561056 is a wasteful number, since it uses less digits than its factorization.

11100561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95265 (or 95257 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 11100561056 in words is "eleven billion, one hundred million, five hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 281 416 562 1124 2248 3653 4496 7306 8992 14612 29224 58448 94961 116896 189922 379844 759688 1234493 1519376 2468986 3038752 4937972 9875944 19751888 26684041 39503776 53368082 106736164 213472328 346892533 426944656 693785066 853889312 1387570132 2775140264 5550280528 11100561056