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1918108368 = 243211171923163
BaseRepresentation
bin111001001010100…
…0000001011010000
311221200021000000200
41302111000023100
512412013431433
6514155415200
765350436451
oct16225001320
94850230020
101918108368
118a47a4230
12456454500
13247503c87
14142a5d128
15b35d8613
hex725402d0

1918108368 has 480 divisors, whose sum is σ = 6852418560. Its totient is φ = 492687360.

The previous prime is 1918108363. The next prime is 1918108373. The reversal of 1918108368 is 8638018191.

It is an interprime number because it is at equal distance from previous prime (1918108363) and next prime (1918108373).

It is a super-2 number, since 2×19181083682 = 7358279422783246848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918108363) 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 95 ways as a sum of consecutive naturals, for example, 11767455 + ... + 11767617.

It is an arithmetic number, because the mean of its divisors is an integer number (14275872).

Almost surely, 21918108368 is an apocalyptic number.

1918108368 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 1918108368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426209280).

1918108368 is an abundant number, since it is smaller than the sum of its proper divisors (4934310192).

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

1918108368 is a wasteful number, since it uses less digits than its factorization.

1918108368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1918108368 is about 43796.2140829547. The cubic root of 1918108368 is about 1242.4846918402.

The spelling of 1918108368 in words is "one billion, nine hundred eighteen million, one hundred eight thousand, three hundred sixty-eight".