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13845404156832 = 253248074319989
BaseRepresentation
bin1100100101111010001001…
…1001011000001110100000
31211000121102000120102021100
43021132202121120032200
53303320341431004312
645240254005354400
72626204010355453
oct311364231301640
954017360512240
1013845404156832
114458891774546
1216773b9a08a00
137958014b1581
1435c19a58349a
1519023daec5dc
hexc97a26583a0

13845404156832 has 36 divisors (see below), whose sum is σ = 39372868071810. Its totient is φ = 4615134718848.

The previous prime is 13845404156699. The next prime is 13845404156861. The reversal of 13845404156832 is 23865140454831.

13845404156832 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 5 + 4 + 0 + 41 + 568 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13722312644496 + 123091512336 = 3704364^2 + 350844^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 24037159707 + ... + 24037160282.

Almost surely, 213845404156832 is an apocalyptic number.

13845404156832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13845404156832 is an abundant number, since it is smaller than the sum of its proper divisors (25527463914978).

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

13845404156832 is a wasteful number, since it uses less digits than its factorization.

13845404156832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48074320005 (or 48074319994 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 13845404156832 in words is "thirteen trillion, eight hundred forty-five billion, four hundred four million, one hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 48074319989 96148639978 144222959967 192297279956 288445919934 384594559912 432668879901 576891839868 769189119824 865337759802 1153783679736 1538378239648 1730675519604 2307567359472 3461351039208 4615134718944 6922702078416 13845404156832