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13644812256 = 253312145541
BaseRepresentation
bin11001011010100101…
…10100111111100000
31022012221010021120220
430231102310333200
5210421032443011
610133543403040
7662062663515
oct145522647740
938187107526
1013644812256
115872160449
122789753480
131395b5a60a
1493625930c
1554cd72506
hex32d4b4fe0

13644812256 has 48 divisors (see below), whose sum is σ = 35829895248. Its totient is φ = 4546713600.

The previous prime is 13644812249. The next prime is 13644812299. The reversal of 13644812256 is 65221844631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 276846 + ... + 322386.

It is an arithmetic number, because the mean of its divisors is an integer number (746456151).

Almost surely, 213644812256 is an apocalyptic number.

13644812256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13644812256 is an abundant number, since it is smaller than the sum of its proper divisors (22185082992).

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

13644812256 is a wasteful number, since it uses less digits than its factorization.

13644812256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48675 (or 48667 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 13644812256 in words is "thirteen billion, six hundred forty-four million, eight hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3121 6242 9363 12484 18726 24968 37452 45541 49936 74904 91082 99872 136623 149808 182164 273246 299616 364328 546492 728656 1092984 1457312 2185968 4371936 142133461 284266922 426400383 568533844 852800766 1137067688 1705601532 2274135376 3411203064 4548270752 6822406128 13644812256