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18829431808 = 210112959977
BaseRepresentation
bin10001100010010100…
…100101010000000000
31210121020220020120021
4101202110211100000
5302030313304213
612352232023224
71234416346435
oct214224452000
953536806507
1018829431808
117a927a58a0
123795b31b14
131a11019935
14ca8a57b8c
157530e5d8d
hex462525400

18829431808 has 176 divisors, whose sum is σ = 43242465600. Its totient is φ = 8115322880.

The previous prime is 18829431799. The next prime is 18829431811. The reversal of 18829431808 is 80813492881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×188294318083 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19272216 + ... + 19273192.

Almost surely, 218829431808 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 18829431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621232800).

18829431808 is an abundant number, since it is smaller than the sum of its proper divisors (24413033792).

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

18829431808 is a wasteful number, since it uses less digits than its factorization.

18829431808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 52.

The spelling of 18829431808 in words is "eighteen billion, eight hundred twenty-nine million, four hundred thirty-one thousand, eight hundred eight".