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11705076352 = 271791932647
BaseRepresentation
bin10101110011010110…
…10100101010000000
31010012202011111011101
422321223110222000
5142432444420402
65213252224144
7563030336014
oct127153245200
933182144141
1011705076352
114a67235122
12232800b054
1311470234a8
147d07aa544
15487915b87
hex2b9ad4a80

11705076352 has 64 divisors (see below), whose sum is σ = 23579380800. Its totient is φ = 5787500544.

The previous prime is 11705076343. The next prime is 11705076377. The reversal of 11705076352 is 25367050711.

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

It is a super-2 number, since 2×117050763522 (a number of 21 digits) contains 22 as substring.

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, 4420693 + ... + 4423339.

It is an arithmetic number, because the mean of its divisors is an integer number (368427825).

Almost surely, 211705076352 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 11705076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789690400).

11705076352 is an abundant number, since it is smaller than the sum of its proper divisors (11874304448).

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

11705076352 is a wasteful number, since it uses less digits than its factorization.

11705076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The spelling of 11705076352 in words is "eleven billion, seven hundred five million, seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 179 193 358 386 716 772 1432 1544 2647 2864 3088 5294 5728 6176 10588 11456 12352 21176 22912 24704 34547 42352 69094 84704 138188 169408 276376 338816 473813 510871 552752 947626 1021742 1105504 1895252 2043484 2211008 3790504 4086968 4422016 7581008 8173936 15162016 16347872 30324032 32695744 60648064 65391488 91445909 182891818 365783636 731567272 1463134544 2926269088 5852538176 11705076352