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13704536544 = 253312148549
BaseRepresentation
bin11001100001101101…
…01010000111100000
31022101002111120220120
430300312222013200
5211031330132134
610143515440240
7663416432016
oct146066520740
938332446816
1013704536544
1158a2943166
1227a5756080
1313a533bc2a
149401648b6
1555321d649
hex330daa1e0

13704536544 has 72 divisors (see below), whose sum is σ = 37172557800. Its totient is φ = 4420788480.

The previous prime is 13704536539. The next prime is 13704536551. The reversal of 13704536544 is 44563540731.

It is a junction number, because it is equal to n+sod(n) for n = 13704536496 and 13704536505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17982 + ... + 166530.

It is an arithmetic number, because the mean of its divisors is an integer number (516285525).

Almost surely, 213704536544 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 13704536544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18586278900).

13704536544 is an abundant number, since it is smaller than the sum of its proper divisors (23468021256).

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

13704536544 is a wasteful number, since it uses less digits than its factorization.

13704536544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148624 (or 148585 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 13704536544 in words is "thirteen billion, seven hundred four million, five hundred thirty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 961 992 1488 1922 2883 2976 3844 5766 7688 11532 15376 23064 30752 46128 92256 148549 297098 445647 594196 891294 1188392 1782588 2376784 3565176 4605019 4753568 7130352 9210038 13815057 14260704 18420076 27630114 36840152 55260228 73680304 110520456 142755589 147360608 221040912 285511178 428266767 442081824 571022356 856533534 1142044712 1713067068 2284089424 3426134136 4568178848 6852268272 13704536544