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108619390368 = 253617793467
BaseRepresentation
bin110010100101000111…
…0000101110110100000
3101101100212112202000000
41211022032011312200
53234423030442433
6121522110300000
710563455404326
oct1451216056640
9341325482000
10108619390368
11420798a5715
12190744b7600
13a32047a228
145385abbd16
152c5acd3113
hex194a385da0

108619390368 has 336 divisors, whose sum is σ = 343876337280. Its totient is φ = 33635616768.

The previous prime is 108619390309. The next prime is 108619390379. The reversal of 108619390368 is 863093916801.

108619390368 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 193 + 90 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31327771 + ... + 31331237.

It is an arithmetic number, because the mean of its divisors is an integer number (1023441480).

Almost surely, 2108619390368 is an apocalyptic number.

108619390368 is a gapful number since it is divisible by the number (18) 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 108619390368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171938168640).

108619390368 is an abundant number, since it is smaller than the sum of its proper divisors (235256946912).

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

108619390368 is an equidigital number, since it uses as much as digits as its factorization.

108619390368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 108619390368 in words is "one hundred eight billion, six hundred nineteen million, three hundred ninety thousand, three hundred sixty-eight".