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13923180324 = 22324110391583
BaseRepresentation
bin11001111011110001…
…01101111100100100
31022221022220211210100
430331320231330210
5212003313232244
610221330024100
71002013036314
oct147570557444
938838824710
1013923180324
1159a52aa4a9
122846a18030
13140b723251
149611db444
1556750bb69
hex33de2df24

13923180324 has 72 divisors (see below), whose sum is σ = 36403540992. Its totient is φ = 4483854720.

The previous prime is 13923180317. The next prime is 13923180361. The reversal of 13923180324 is 42308132931.

13923180324 is a `hidden beast` number, since 13 + 9 + 2 + 318 + 0 + 324 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106237 + ... + 197819.

It is an arithmetic number, because the mean of its divisors is an integer number (505604736).

Almost surely, 213923180324 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 13923180324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201770496).

13923180324 is an abundant number, since it is smaller than the sum of its proper divisors (22480360668).

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

13923180324 is a wasteful number, since it uses less digits than its factorization.

13923180324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91737 (or 91732 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13923180324 in words is "thirteen billion, nine hundred twenty-three million, one hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 103 123 164 206 246 309 369 412 492 618 738 927 1236 1476 1854 3708 4223 8446 12669 16892 25338 38007 50676 76014 91583 152028 183166 274749 366332 549498 824247 1098996 1648494 3296988 3754903 7509806 9433049 11264709 15019612 18866098 22529418 28299147 33794127 37732196 45058836 56598294 67588254 84897441 113196588 135176508 169794882 339589764 386755009 773510018 1160265027 1547020036 2320530054 3480795081 4641060108 6961590162 13923180324