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18715207680 = 2113351341127
BaseRepresentation
bin10001011011100000…
…110110100000000000
31210022021222001112000
4101123200312200000
5301312043121210
612333031504000
71231531432461
oct213340664000
953267861460
1018715207680
117a34279594
123763828000
1319c34659b0
14c97802d68
15748081ac0
hex45b836800

18715207680 has 768 divisors, whose sum is σ = 73969459200. Its totient is φ = 4459069440.

The previous prime is 18715207669. The next prime is 18715207733. The reversal of 18715207680 is 8670251781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147363777 + ... + 147363903.

It is an arithmetic number, because the mean of its divisors is an integer number (96314400).

Almost surely, 218715207680 is an apocalyptic number.

18715207680 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 18715207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36984729600).

18715207680 is an abundant number, since it is smaller than the sum of its proper divisors (55254251520).

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

18715207680 is a wasteful number, since it uses less digits than its factorization.

18715207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 18715207680 in words is "eighteen billion, seven hundred fifteen million, two hundred seven thousand, six hundred eighty".