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18972247680 = 27345596203
BaseRepresentation
bin10001101010110101…
…011000011010000000
31210222012122001010000
4101222311120122000
5302323343411210
612414333040000
71241102305311
oct215265303200
953865561100
1018972247680
118056380541
123815926000
131a347a1879
14cbd9d2608
15760906ac0
hex46ad58680

18972247680 has 320 divisors, whose sum is σ = 68912791200. Its totient is φ = 4972713984.

The previous prime is 18972247667. The next prime is 18972247699. The reversal of 18972247680 is 8674227981.

It is a happy number.

18972247680 is a `hidden beast` number, since 1 + 8 + 97 + 2 + 2 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3055459 + ... + 3061661.

Almost surely, 218972247680 is an apocalyptic number.

18972247680 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 18972247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34456395600).

18972247680 is an abundant number, since it is smaller than the sum of its proper divisors (49940543520).

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

18972247680 is an equidigital number, since it uses as much as digits as its factorization.

18972247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 18972247680 in words is "eighteen billion, nine hundred seventy-two million, two hundred forty-seven thousand, six hundred eighty".