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18697045248 = 28327359401
BaseRepresentation
bin10001011010011011…
…100100010100000000
31210021000210022100100
4101122123210110000
5301242420421443
612331142322400
71231221156000
oct213233442400
953230708310
1018697045248
117a24aa3912
123759729400
1319bc776aab
14c95236000
157466953d3
hex45a6e4500

18697045248 has 432 divisors, whose sum is σ = 64091664000. Its totient is φ = 5238374400.

The previous prime is 18697045217. The next prime is 18697045249. The reversal of 18697045248 is 84254079681.

It is a happy number.

18697045248 is a `hidden beast` number, since 1 + 86 + 9 + 70 + 452 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18697045194 and 18697045203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18697045249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46625848 + ... + 46626248.

Almost surely, 218697045248 is an apocalyptic number.

18697045248 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 18697045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32045832000).

18697045248 is an abundant number, since it is smaller than the sum of its proper divisors (45394618752).

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

18697045248 is an equidigital number, since it uses as much as digits as its factorization.

18697045248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 18697045248 in words is "eighteen billion, six hundred ninety-seven million, forty-five thousand, two hundred forty-eight".