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18377479680 = 29357379239
BaseRepresentation
bin10001000111011000…
…100001011000000000
31202102202110200210120
4101013120201120000
5300114113322210
612235325100240
71220260666650
oct210730413000
952382420716
1018377479680
11788067653a
12368a6b7680
13196b4b8541
14c64a0c360
157285be270
hex447621600

18377479680 has 320 divisors, whose sum is σ = 68965585920. Its totient is φ = 4086595584.

The previous prime is 18377479667. The next prime is 18377479691. The reversal of 18377479680 is 8697477381.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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, 1984501 + ... + 1993739.

It is an arithmetic number, because the mean of its divisors is an integer number (215517456).

Almost surely, 218377479680 is an apocalyptic number.

18377479680 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 18377479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34482792960).

18377479680 is an abundant number, since it is smaller than the sum of its proper divisors (50588106240).

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

18377479680 is an equidigital number, since it uses as much as digits as its factorization.

18377479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 18377479680 in words is "eighteen billion, three hundred seventy-seven million, four hundred seventy-nine thousand, six hundred eighty".