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642099672 = 2332291811699
BaseRepresentation
bin100110010001011…
…010100111011000
31122202020001011100
4212101122213120
52303334142142
6143414231400
721624520464
oct4621324730
91582201140
10642099672
112aa4a2a95
1215b055560
13a3049046
14613c54a4
153b586b4c
hex2645a9d8

642099672 has 96 divisors (see below), whose sum is σ = 1809990000. Its totient is φ = 205390080.

The previous prime is 642099649. The next prime is 642099697. The reversal of 642099672 is 276990246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377079 + ... + 378777.

Almost surely, 2642099672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642099672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904995000).

642099672 is an abundant number, since it is smaller than the sum of its proper divisors (1167890328).

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

642099672 is a wasteful number, since it uses less digits than its factorization.

642099672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 642099672 is about 25339.6857123367. The cubic root of 642099672 is about 862.7152652356.

The spelling of 642099672 in words is "six hundred forty-two million, ninety-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 181 232 261 348 362 522 543 696 724 1044 1086 1448 1629 1699 2088 2172 3258 3398 4344 5097 5249 6516 6796 10194 10498 13032 13592 15291 15747 20388 20996 30582 31494 40776 41992 47241 49271 61164 62988 94482 98542 122328 125976 147813 188964 197084 295626 307519 377928 394168 443439 591252 615038 886878 922557 1182504 1230076 1773756 1845114 2460152 2767671 3547512 3690228 5535342 7380456 8918051 11070684 17836102 22141368 26754153 35672204 53508306 71344408 80262459 107016612 160524918 214033224 321049836 642099672