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18721093248 = 273611132361
BaseRepresentation
bin10001011011110111…
…010011011010000000
31210022201001002000000
4101123313103122000
5301320044440443
612333402000000
71231632444534
oct213367233200
953281032000
1018721093248
117a376294a0
1237657a6000
1319c4746890
14c984d5bc4
157488458d3
hex45bdd3680

18721093248 has 896 divisors, whose sum is σ = 69674290560. Its totient is φ = 4926873600.

The previous prime is 18721093247. The next prime is 18721093331. The reversal of 18721093248 is 84239012781.

It is a happy number.

It is a super-2 number, since 2×187210932482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18721093247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 306903138 + ... + 306903198.

It is an arithmetic number, because the mean of its divisors is an integer number (77761485).

Almost surely, 218721093248 is an apocalyptic number.

18721093248 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 18721093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34837145280).

18721093248 is an abundant number, since it is smaller than the sum of its proper divisors (50953197312).

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

18721093248 is a wasteful number, since it uses less digits than its factorization.

18721093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18721093248 in words is "eighteen billion, seven hundred twenty-one million, ninety-three thousand, two hundred forty-eight".