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18914309568 = 2633711212923
BaseRepresentation
bin10001100111011000…
…010111010111000000
31210211011121110222000
4101213120113113000
5302214030401233
612404503144000
71236466656450
oct214730272700
953734543860
1018914309568
1180266a8800
1237ba445000
131a2579726b
14cb602dd60
1575a7aed13
hex4676175c0

18914309568 has 336 divisors, whose sum is σ = 69855770880. Its totient is φ = 4912427520.

The previous prime is 18914309507. The next prime is 18914309587. The reversal of 18914309568 is 86590341981.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×189143095682 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457155 + ... + 1470077.

It is an arithmetic number, because the mean of its divisors is an integer number (207904080).

Almost surely, 218914309568 is an apocalyptic number.

18914309568 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 18914309568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34927885440).

18914309568 is an abundant number, since it is smaller than the sum of its proper divisors (50941461312).

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

18914309568 is a wasteful number, since it uses less digits than its factorization.

18914309568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12973 (or 12946 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 18914309568 in words is "eighteen billion, nine hundred fourteen million, three hundred nine thousand, five hundred sixty-eight".