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18601943040 = 21332550461
BaseRepresentation
bin10001010100110000…
…110010000000000000
31210000101211121122100
4101110300302000000
5301044044134130
612313504110400
71225654623042
oct212460620000
953011747570
1018601943040
11798634814a
123731905400
1319a5b596b5
14c8675ba92
1573d15bc60
hex454c32000

18601943040 has 168 divisors, whose sum is σ = 64484077788. Its totient is φ = 4960419840.

The previous prime is 18601943023. The next prime is 18601943051. The reversal of 18601943040 is 4034910681.

18601943040 is a `hidden beast` number, since 1 + 8 + 601 + 9 + 4 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18426433536 + 175509504 = 135744^2 + 13248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18601942986 and 18601943004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343410 + ... + 393870.

Almost surely, 218601943040 is an apocalyptic number.

18601943040 is a gapful number since it is divisible by the number (10) 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 18601943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32242038894).

18601943040 is an abundant number, since it is smaller than the sum of its proper divisors (45882134748).

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

18601943040 is an equidigital number, since it uses as much as digits as its factorization.

18601943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50498 (or 50471 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 18601943040 in words is "eighteen billion, six hundred one million, nine hundred forty-three thousand, forty".