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68829022080 = 273357213337
BaseRepresentation
bin100000000011010000…
…1111000011110000000
320120122210221121011000
41000012201320132000
52111430212201310
651341500452000
74654435014600
oct1000641703600
9216583847130
1068829022080
1127210209025
121140a84a000
13664b975000
14348d2bcc00
151bcc9094c0
hex1006878780

68829022080 has 1536 divisors, whose sum is σ = 315490896000. Its totient is φ = 14129676288.

The previous prime is 68829022063. The next prime is 68829022151. The reversal of 68829022080 is 8022092886.

68829022080 is a `hidden beast` number, since 68 + 8 + 290 + 220 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1860243822 + ... + 1860243858.

Almost surely, 268829022080 is an apocalyptic number.

68829022080 is a gapful number since it is divisible by the number (60) 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 68829022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157745448000).

68829022080 is an abundant number, since it is smaller than the sum of its proper divisors (246661873920).

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

68829022080 is a wasteful number, since it uses less digits than its factorization.

68829022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 68829022080 in words is "sixty-eight billion, eight hundred twenty-nine million, twenty-two thousand, eighty".