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18476929464 = 2337375983607
BaseRepresentation
bin10001001101010011…
…111001000110111000
31202200200121021020220
4101031103321012320
5300320043220324
612253240420040
71222606211010
oct211523710670
952620537226
1018476929464
117921821644
1236b7a77620
131985c98776
14c73cd8c40
157321b5b79
hex44d4f91b8

18476929464 has 256 divisors, whose sum is σ = 55893196800. Its totient is φ = 4980331008.

The previous prime is 18476929447. The next prime is 18476929469. The reversal of 18476929464 is 46492967481.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18476929398 and 18476929407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18476929469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30439449 + ... + 30440055.

It is an arithmetic number, because the mean of its divisors is an integer number (218332800).

Almost surely, 218476929464 is an apocalyptic number.

18476929464 is a gapful number since it is divisible by the number (14) 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 18476929464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27946598400).

18476929464 is an abundant number, since it is smaller than the sum of its proper divisors (37416267336).

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

18476929464 is a wasteful number, since it uses less digits than its factorization.

18476929464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 18476929464 in words is "eighteen billion, four hundred seventy-six million, nine hundred twenty-nine thousand, four hundred sixty-four".