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18740136240 = 2433572199319
BaseRepresentation
bin10001011100111111…
…111100100100110000
31210101000212120002000
4101130333330210300
5301334433324430
612335322054000
71232253346500
oct213477744460
953330776060
1018740136240
117a47355801
12377004a300
1319c8683517
14c9ac51a00
1574a357e60
hex45cffc930

18740136240 has 480 divisors, whose sum is σ = 79048512000. Its totient is φ = 4057579008.

The previous prime is 18740136227. The next prime is 18740136263. The reversal of 18740136240 is 4263104781.

18740136240 is a `hidden beast` number, since 1 + 8 + 7 + 401 + 3 + 6 + 240 = 666.

It is a super-2 number, since 2×187401362402 (a number of 21 digits) contains 22 as substring.

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 = 18740136195 and 18740136204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2006301 + ... + 2015619.

It is an arithmetic number, because the mean of its divisors is an integer number (164684400).

Almost surely, 218740136240 is an apocalyptic number.

18740136240 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 18740136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39524256000).

18740136240 is an abundant number, since it is smaller than the sum of its proper divisors (60308375760).

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

18740136240 is a wasteful number, since it uses less digits than its factorization.

18740136240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9355 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 18740136240 in words is "eighteen billion, seven hundred forty million, one hundred thirty-six thousand, two hundred forty".