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18840187872 = 253411343127
BaseRepresentation
bin10001100010111101…
…100111001111100000
31210122000010201010000
4101202331213033200
5302041042002442
612353254340000
71234606645302
oct214275471740
953560121100
1018840187872
117a98882000
12379965a600
131a1331467c
14caa257972
1575401cd4c
hex462f673e0

18840187872 has 480 divisors, whose sum is σ = 62853525504. Its totient is φ = 5532468480.

The previous prime is 18840187871. The next prime is 18840187897. The reversal of 18840187872 is 27878104881.

It is a happy number.

18840187872 is a `hidden beast` number, since 1 + 88 + 401 + 87 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18840187871) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148347873 + ... + 148347999.

Almost surely, 218840187872 is an apocalyptic number.

18840187872 is a gapful number since it is divisible by the number (12) 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 18840187872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426762752).

18840187872 is an abundant number, since it is smaller than the sum of its proper divisors (44013337632).

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

18840187872 is a wasteful number, since it uses less digits than its factorization.

18840187872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 18840187872 in words is "eighteen billion, eight hundred forty million, one hundred eighty-seven thousand, eight hundred seventy-two".