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642868022736 = 2434496040141
BaseRepresentation
bin10010101101011011110…
…10111000110111010000
32021110100120121020120000
421112231322320313100
541013043203211421
61211155100450000
764305604014102
oct11265572706720
92243316536500
10642868022736
1122870326a565
12a4713249900
1348811c65834
1423187701572
1511ac8529226
hex95adeb8dd0

642868022736 has 50 divisors (see below), whose sum is σ = 1860646572642. Its totient is φ = 214289340480.

The previous prime is 642868022717. The next prime is 642868022773. The reversal of 642868022736 is 637220868246.

642868022736 is a `hidden beast` number, since 64 + 286 + 80 + 227 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 641370332736 + 1497690000 = 800856^2 + 38700^2 .

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 9 ways as a sum of consecutive naturals, for example, 248018775 + ... + 248021366.

Almost surely, 2642868022736 is an apocalyptic number.

It is an amenable number.

642868022736 is an abundant number, since it is smaller than the sum of its proper divisors (1217778549906).

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

642868022736 is a wasteful number, since it uses less digits than its factorization.

642868022736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496040161 (or 496040146 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 642868022736 in words is "six hundred forty-two billion, eight hundred sixty-eight million, twenty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 496040141 992080282 1488120423 1984160564 2976240846 3968321128 4464361269 5952481692 7936642256 8928722538 11904963384 13393083807 17857445076 23809926768 26786167614 35714890152 40179251421 53572335228 71429780304 80358502842 107144670456 160717005684 214289340912 321434011368 642868022736