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13955672304 = 243374614971
BaseRepresentation
bin11001111111101001…
…01010100011110000
31100000121001121102000
430333310222203300
5212040123003204
610224450254000
71002556154160
oct147764524360
940017047360
1013955672304
115a11682182
122855887300
13141538b582
149656585a0
1556a2c9039
hex33fd2a8f0

13955672304 has 80 divisors (see below), whose sum is σ = 45780522240. Its totient is φ = 3987334080.

The previous prime is 13955672281. The next prime is 13955672309. The reversal of 13955672304 is 40327655931.

It is a self number, because there is not a number n which added to its sum of digits gives 13955672304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13955672309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2304462 + ... + 2310509.

It is an arithmetic number, because the mean of its divisors is an integer number (572256528).

Almost surely, 213955672304 is an apocalyptic number.

13955672304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13955672304 is an abundant number, since it is smaller than the sum of its proper divisors (31824849936).

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

13955672304 is a wasteful number, since it uses less digits than its factorization.

13955672304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614995 (or 4614983 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13955672304 in words is "thirteen billion, nine hundred fifty-five million, six hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4614971 9229942 13844913 18459884 27689826 32304797 36919768 41534739 55379652 64609594 73839536 83069478 96914391 110759304 124604217 129219188 166138956 193828782 221518608 249208434 258438376 290743173 332277912 387657564 498416868 516876752 581486346 664555824 775315128 872229519 996833736 1162972692 1550630256 1744459038 1993667472 2325945384 3488918076 4651890768 6977836152 13955672304