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12384697032 = 23327313117987
BaseRepresentation
bin10111000100010111…
…10111101011001000
31011222002222210110200
423202023313223020
5200330440301112
65404531012200
7615622121301
oct134213675310
934862883420
1012384697032
115285925204
12249773a060
131224a788c6
14856b5b7a8
154c740ecdc
hex2e22f7ac8

12384697032 has 96 divisors (see below), whose sum is σ = 34262822880. Its totient is φ = 4040375040.

The previous prime is 12384697027. The next prime is 12384697069. The reversal of 12384697032 is 23079648321.

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, 679543 + ... + 697529.

It is an arithmetic number, because the mean of its divisors is an integer number (356904405).

Almost surely, 212384697032 is an apocalyptic number.

12384697032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12384697032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17131411440).

12384697032 is an abundant number, since it is smaller than the sum of its proper divisors (21878125848).

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

12384697032 is a wasteful number, since it uses less digits than its factorization.

12384697032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18203 (or 18196 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12384697032 in words is "twelve billion, three hundred eighty-four million, six hundred ninety-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 131 146 219 262 292 393 438 524 584 657 786 876 1048 1179 1314 1572 1752 2358 2628 3144 4716 5256 9432 9563 17987 19126 28689 35974 38252 53961 57378 71948 76504 86067 107922 114756 143896 161883 172134 215844 229512 323766 344268 431688 647532 688536 1295064 1313051 2356297 2626102 3939153 4712594 5252204 7068891 7878306 9425188 10504408 11817459 14137782 15756612 18850376 21206673 23634918 28275564 31513224 42413346 47269836 56551128 84826692 94539672 169653384 172009681 344019362 516029043 688038724 1032058086 1376077448 1548087129 2064116172 3096174258 4128232344 6192348516 12384697032