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11765030656 = 28236732969
BaseRepresentation
bin10101111010100000…
…00001111100000000
31010100220222111000011
422331100001330000
5143043321440111
65223233234304
7564356052631
oct127520017400
933326874004
1011765030656
114a98064735
122344102994
131156585702
147d8735888
1548cd0a021
hex2bd401f00

11765030656 has 72 divisors (see below), whose sum is σ = 24549829920. Its totient is φ = 5616500736.

The previous prime is 11765030653. The next prime is 11765030687. The reversal of 11765030656 is 65603056711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11765030653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3961140 + ... + 3964108.

It is an arithmetic number, because the mean of its divisors is an integer number (340969860).

Almost surely, 211765030656 is an apocalyptic number.

11765030656 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 11765030656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12274914960).

11765030656 is an abundant number, since it is smaller than the sum of its proper divisors (12784799264).

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

11765030656 is an equidigital number, since it uses as much as digits as its factorization.

11765030656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 11765030656 in words is "eleven billion, seven hundred sixty-five million, thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 673 736 1346 1472 2692 2944 2969 5384 5888 5938 10768 11876 15479 21536 23752 30958 43072 47504 61916 68287 86144 95008 123832 136574 172288 190016 247664 273148 380032 495328 546296 760064 990656 1092592 1981312 1998137 2185184 3962624 3996274 4370368 7992548 8740736 15985096 17481472 31970192 45957151 63940384 91914302 127880768 183828604 255761536 367657208 511523072 735314416 1470628832 2941257664 5882515328 11765030656