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18693472896 = 2736728619
BaseRepresentation
bin10001011010001101…
…111100001010000000
31210020210001211000000
4101122031330022000
5301241012113041
612330534000000
71231145616660
oct213215741200
953223054000
1018693472896
117a22a8395a
1237584a6000
1319bbac5a87
14c949861a0
157461dbbb6
hex45a37c280

18693472896 has 224 divisors, whose sum is σ = 63814586400. Its totient is φ = 5340805632.

The previous prime is 18693472891. The next prime is 18693472909. The reversal of 18693472896 is 69827439681.

18693472896 is a `hidden beast` number, since 1 + 8 + 6 + 9 + 347 + 289 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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.

It is not an unprimeable number, because it can be changed into a prime (18693472891) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 638875 + ... + 667493.

Almost surely, 218693472896 is an apocalyptic number.

18693472896 is a gapful number since it is divisible by the number (16) 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 18693472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31907293200).

18693472896 is an abundant number, since it is smaller than the sum of its proper divisors (45121113504).

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

18693472896 is an frugal number, since it uses more digits than its factorization.

18693472896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28658 (or 28631 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 18693472896 in words is "eighteen billion, six hundred ninety-three million, four hundred seventy-two thousand, eight hundred ninety-six".