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18265927680 = 212345711213
BaseRepresentation
bin10001000000101110…
…111111000000000000
31202010222120021020000
4101000232333000000
5244402034141210
612220302120000
71214434552320
oct210056770000
952128507200
1018265927680
117823704900
123659280000
13195135b940
14c53c91280
1571d8d6ac0
hex440bbf000

18265927680 has 1560 divisors, whose sum is σ = 88581536736. Its totient is φ = 3503554560.

The previous prime is 18265927679. The next prime is 18265927697. The reversal of 18265927680 is 8672956281.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×182659276802 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1405071354 + ... + 1405071366.

Almost surely, 218265927680 is an apocalyptic number.

18265927680 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 18265927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44290768368).

18265927680 is an abundant number, since it is smaller than the sum of its proper divisors (70315609056).

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

18265927680 is a wasteful number, since it uses less digits than its factorization.

18265927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 18265927680 in words is "eighteen billion, two hundred sixty-five million, nine hundred twenty-seven thousand, six hundred eighty".