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18478107840 = 2635173771431
BaseRepresentation
bin10001001101011000…
…011000110011000000
31202200202211010200110
4101031120120303000
5300320343422330
612253321551320
71222622216343
oct211530306300
952622733613
1018478107840
117922456a05
1236b8345540
1319862bbc2a
14c7412445a
15732349db0
hex44d618cc0

18478107840 has 448 divisors, whose sum is σ = 64846614528. Its totient is φ = 4438425600.

The previous prime is 18478107827. The next prime is 18478107847. The reversal of 18478107840 is 4870187481.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18478107840.

It is not an unprimeable number, because it can be changed into a prime (18478107847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42872425 + ... + 42872855.

Almost surely, 218478107840 is an apocalyptic number.

18478107840 is a gapful number since it is divisible by the number (10) 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 18478107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32423307264).

18478107840 is an abundant number, since it is smaller than the sum of its proper divisors (46368506688).

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

18478107840 is a wasteful number, since it uses less digits than its factorization.

18478107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The spelling of 18478107840 in words is "eighteen billion, four hundred seventy-eight million, one hundred seven thousand, eight hundred forty".