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18427194240 = 2735713105467
BaseRepresentation
bin10001001010010110…
…001010101110000000
31202120020000110100120
4101022112022232000
5300214330203430
612244302420240
71221433365240
oct211226125600
952506013316
1018427194240
1178a6741854
1236a3291680
1319788a3a40
14c6b46db20
1572cb3e610
hex44a58ab80

18427194240 has 256 divisors, whose sum is σ = 72291985920. Its totient is φ = 3887898624.

The previous prime is 18427194223. The next prime is 18427194263. The reversal of 18427194240 is 4249172481.

It is a super-2 number, since 2×184271942402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 18427194192 and 18427194201.

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 31 ways as a sum of consecutive naturals, for example, 121987 + ... + 227453.

It is an arithmetic number, because the mean of its divisors is an integer number (282390570).

Almost surely, 218427194240 is an apocalyptic number.

18427194240 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 18427194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36145992960).

18427194240 is an abundant number, since it is smaller than the sum of its proper divisors (53864791680).

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

18427194240 is a wasteful number, since it uses less digits than its factorization.

18427194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105509 (or 105497 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 18427194240 in words is "eighteen billion, four hundred twenty-seven million, one hundred ninety-four thousand, two hundred forty".