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18695274048 = 26321119971601
BaseRepresentation
bin10001011010010100…
…110011111001000000
31210020220110022201100
4101122110303321000
5301241442232143
612331040334400
71231200131103
oct213224637100
953226408640
1018695274048
117a23aa4110
123759014400
1319bc2a6849
14c94cd473a
157464456d3
hex45a533e40

18695274048 has 336 divisors, whose sum is σ = 62208095040. Its totient is φ = 5308416000.

The previous prime is 18695274019. The next prime is 18695274061. The reversal of 18695274048 is 84047259681.

It is a happy number.

18695274048 is a `hidden beast` number, since 18 + 69 + 527 + 4 + 0 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18695273985 and 18695274003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11676448 + ... + 11678048.

It is an arithmetic number, because the mean of its divisors is an integer number (185143140).

Almost surely, 218695274048 is an apocalyptic number.

18695274048 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 18695274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104047520).

18695274048 is an abundant number, since it is smaller than the sum of its proper divisors (43512820992).

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

18695274048 is a wasteful number, since it uses less digits than its factorization.

18695274048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1733 counting only the distinct ones).

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

The spelling of 18695274048 in words is "eighteen billion, six hundred ninety-five million, two hundred seventy-four thousand, forty-eight".