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18860902144 = 287172937577
BaseRepresentation
bin10001100100001100…
…101000011100000000
31210200110010002202021
4101210030220130000
5302111342332034
612355314331224
71235251010620
oct214414503400
953613102667
1018860902144
117aa953aa37
1237a4589b14
131a176b7c36
14caccca880
15755c606b4
hex464328700

18860902144 has 288 divisors, whose sum is σ = 48485969280. Its totient is φ = 7134511104.

The previous prime is 18860902117. The next prime is 18860902147. The reversal of 18860902144 is 44120906881.

It is a self number, because there is not a number n which added to its sum of digits gives 18860902144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18860902147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32687584 + ... + 32688160.

It is an arithmetic number, because the mean of its divisors is an integer number (168354060).

Almost surely, 218860902144 is an apocalyptic number.

18860902144 is a gapful number since it is divisible by the number (14) 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 18860902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24242984640).

18860902144 is an abundant number, since it is smaller than the sum of its proper divisors (29625067136).

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

18860902144 is a wasteful number, since it uses less digits than its factorization.

18860902144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 18860902144 in words is "eighteen billion, eight hundred sixty million, nine hundred two thousand, one hundred forty-four".