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18379296936 = 233271121397239
BaseRepresentation
bin10001000111011111…
…011101000010101000
31202102212220000121100
4101013133131002220
5300120100000221
612235432041400
71220312306040
oct210737350250
952385800540
1018379296936
1178816a7900
12368b233260
13196b9a3740
14c64d62720
1572882c926
hex4477dd0a8

18379296936 has 576 divisors, whose sum is σ = 68319014400. Its totient is φ = 4342947840.

The previous prime is 18379296931. The next prime is 18379296967. The reversal of 18379296936 is 63969297381.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18379296931) 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 143 ways as a sum of consecutive naturals, for example, 76900705 + ... + 76900943.

It is an arithmetic number, because the mean of its divisors is an integer number (118609400).

Almost surely, 218379296936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18379296936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34159507200).

18379296936 is an abundant number, since it is smaller than the sum of its proper divisors (49939717464).

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

18379296936 is a wasteful number, since it uses less digits than its factorization.

18379296936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 18379296936 in words is "eighteen billion, three hundred seventy-nine million, two hundred ninety-six thousand, nine hundred thirty-six".