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13823932032 = 273211999941
BaseRepresentation
bin11001101111111100…
…00111011010000000
31022200102011111201200
430313332013122000
5211302411311112
610203422501200
7666366324561
oct146776073200
938612144650
1013823932032
115954281819
122819734800
1313c3cb3951
14951d64168
1555d954cdc
hex337f87680

13823932032 has 48 divisors (see below), whose sum is σ = 39779807730. Its totient is φ = 4607976960.

The previous prime is 13823932009. The next prime is 13823932039. The reversal of 13823932032 is 23023932831.

It can be written as a sum of positive squares in only one way, i.e., 12772616256 + 1051315776 = 113016^2 + 32424^2 .

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

It is a super-2 number, since 2×138239320322 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13823932039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5998819 + ... + 6001122.

Almost surely, 213823932032 is an apocalyptic number.

13823932032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13823932032 is an abundant number, since it is smaller than the sum of its proper divisors (25955875698).

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

13823932032 is a wasteful number, since it uses less digits than its factorization.

13823932032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11999961 (or 11999946 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13823932032 in words is "thirteen billion, eight hundred twenty-three million, nine hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11999941 23999882 35999823 47999764 71999646 95999528 107999469 143999292 191999056 215998938 287998584 383998112 431997876 575997168 767996224 863995752 1151994336 1535992448 1727991504 2303988672 3455983008 4607977344 6911966016 13823932032