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18007476480 = 2832572192373
BaseRepresentation
bin10000110001010101…
…000100100100000000
31201110222020120211100
4100301111010210000
5243334403221410
612134510414400
71205146011300
oct206125044400
951428216740
1018007476480
117700829674
1235a6801400
13190c94a636
14c2b815600
15705d838c0
hex431544900

18007476480 has 1296 divisors, whose sum is σ = 80698101120. Its totient is φ = 3678732288.

The previous prime is 18007476451. The next prime is 18007476521. The reversal of 18007476480 is 8467470081.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 246677724 + ... + 246677796.

Almost surely, 218007476480 is an apocalyptic number.

18007476480 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 18007476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40349050560).

18007476480 is an abundant number, since it is smaller than the sum of its proper divisors (62690624640).

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

18007476480 is a wasteful number, since it uses less digits than its factorization.

18007476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 18007476480 in words is "eighteen billion, seven million, four hundred seventy-six thousand, four hundred eighty".