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18311076540 = 22335831992053
BaseRepresentation
bin10001000011011011…
…001101101010111100
31202021010112001211000
4101003123031222330
5300000113422130
612224553530300
71215523403541
oct210333155274
952233461730
1018311076540
117847141909
123670413990
13195a808c43
14c59c84bc8
15722854260
hex4436cdabc

18311076540 has 192 divisors, whose sum is σ = 57972096000. Its totient is φ = 4797543168.

The previous prime is 18311076523. The next prime is 18311076551. The reversal of 18311076540 is 4567011381.

18311076540 is a `hidden beast` number, since 1 + 8 + 3 + 1 + 107 + 6 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18311076495 and 18311076504.

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, 8918154 + ... + 8920206.

It is an arithmetic number, because the mean of its divisors is an integer number (301938000).

Almost surely, 218311076540 is an apocalyptic number.

18311076540 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 18311076540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28986048000).

18311076540 is an abundant number, since it is smaller than the sum of its proper divisors (39661019460).

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

18311076540 is a wasteful number, since it uses less digits than its factorization.

18311076540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 18311076540 in words is "eighteen billion, three hundred eleven million, seventy-six thousand, five hundred forty".