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18733897728 = 211347131773
BaseRepresentation
bin10001011100101000…
…001001100000000000
31210100121010121110000
4101130220021200000
5301331334211403
612334540240000
71232146334430
oct213450114000
953317117400
1018733897728
117a43884707
123769b40000
1319c72aaab0
14c9a0aa2c0
15749a247a3
hex45ca09800

18733897728 has 960 divisors, whose sum is σ = 73919926080. Its totient is φ = 4586471424.

The previous prime is 18733897727. The next prime is 18733897733. The reversal of 18733897728 is 82779833781.

18733897728 is a `hidden beast` number, since 187 + 3 + 389 + 7 + 72 + 8 = 666.

It is a super-3 number, since 3×187338977283 (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (28449792) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18733897727) 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, 256628700 + ... + 256628772.

It is an arithmetic number, because the mean of its divisors is an integer number (76999923).

Almost surely, 218733897728 is an apocalyptic number.

18733897728 is a gapful number since it is divisible by the number (18) 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 18733897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36959963040).

18733897728 is an abundant number, since it is smaller than the sum of its proper divisors (55186028352).

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

18733897728 is a wasteful number, since it uses less digits than its factorization.

18733897728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 18733897728 in words is "eighteen billion, seven hundred thirty-three million, eight hundred ninety-seven thousand, seven hundred twenty-eight".