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18480465900 = 22355213193079
BaseRepresentation
bin10001001101100001…
…011000011111101100
31202200221020221100000
4101031201120133230
5300321444402100
612253444304300
71222651240221
oct211541303754
952627227300
1018480465900
117923817616
1236b90a2090
131986936330
14c74579948
15732663900
hex44d8587ec

18480465900 has 432 divisors, whose sum is σ = 68119251200. Its totient is φ = 4308215040.

The previous prime is 18480465889. The next prime is 18480465901. The reversal of 18480465900 is 956408481.

18480465900 is a `hidden beast` number, since 18 + 4 + 8 + 0 + 46 + 590 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18480465901) 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 143 ways as a sum of consecutive naturals, for example, 6000561 + ... + 6003639.

Almost surely, 218480465900 is an apocalyptic number.

18480465900 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 18480465900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34059625600).

18480465900 is an abundant number, since it is smaller than the sum of its proper divisors (49638785300).

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

18480465900 is a wasteful number, since it uses less digits than its factorization.

18480465900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 18480465900 in words is "eighteen billion, four hundred eighty million, four hundred sixty-five thousand, nine hundred".