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13237303680 = 273252298143
BaseRepresentation
bin11000101010000000…
…10011100110000000
31021011112022200220200
430111000103212000
5204102222204210
610025305205200
7646014140046
oct142500234600
937145280820
1013237303680
1156831271a7
122695190800
13132c5ba493
148d809c396
155271c90c0
hex315013980

13237303680 has 96 divisors (see below), whose sum is σ = 45710084160. Its totient is φ = 3529946112.

The previous prime is 13237303679. The next prime is 13237303693. The reversal of 13237303680 is 8630373231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143312 + ... + 1154831.

It is an arithmetic number, because the mean of its divisors is an integer number (476146710).

Almost surely, 213237303680 is an apocalyptic number.

13237303680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13237303680 is an abundant number, since it is smaller than the sum of its proper divisors (32472780480).

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

13237303680 is a wasteful number, since it uses less digits than its factorization.

13237303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298168 (or 2298153 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13237303680 in words is "thirteen billion, two hundred thirty-seven million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 2298143 4596286 6894429 9192572 11490715 13788858 18385144 20683287 22981430 27577716 34472145 36770288 41366574 45962860 55155432 68944290 73540576 82733148 91925720 103416435 110310864 137888580 147081152 165466296 183851440 206832870 220621728 275777160 294162304 330932592 367702880 413665740 441243456 551554320 661865184 735405760 827331480 882486912 1103108640 1323730368 1470811520 1654662960 2206217280 2647460736 3309325920 4412434560 6618651840 13237303680