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18406127640 = 23351943197953
BaseRepresentation
bin10001001001000101…
…110011100000011000
31202111202101011102010
4101021011303200120
5300143432041030
612242231105520
71221056334465
oct211105634030
952452334363
1018406127640
11789586313a
1236982122a0
131974408cb4
14c6874866c
1572ad7c6b0
hex449173818

18406127640 has 256 divisors, whose sum is σ = 59840985600. Its totient is φ = 4514033664.

The previous prime is 18406127627. The next prime is 18406127671. The reversal of 18406127640 is 4672160481.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19313404 + ... + 19314356.

It is an arithmetic number, because the mean of its divisors is an integer number (233753850).

Almost surely, 218406127640 is an apocalyptic number.

18406127640 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 18406127640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29920492800).

18406127640 is an abundant number, since it is smaller than the sum of its proper divisors (41434857960).

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

18406127640 is a wasteful number, since it uses less digits than its factorization.

18406127640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 18406127640 in words is "eighteen billion, four hundred six million, one hundred twenty-seven thousand, six hundred forty".