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634317713436 = 223115227919349
BaseRepresentation
bin10010011101100000100…
…10000011000000011100
32020122021200200112012210
421032300102003000130
540343040313312221
61203222422000420
763553661413461
oct11166022030034
92218250615183
10634317713436
112250158a3640
12a2b27876110
1347a7b704514
14229b5d07668
1511777a79276
hex93b048301c

634317713436 has 48 divisors (see below), whose sum is σ = 1614937564800. Its totient is φ = 192180505920.

The previous prime is 634317713363. The next prime is 634317713489.

634317713436 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230290 + ... + 1149638.

It is an arithmetic number, because the mean of its divisors is an integer number (33644532600).

Almost surely, 2634317713436 is an apocalyptic number.

634317713436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

634317713436 is an abundant number, since it is smaller than the sum of its proper divisors (980619851364).

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

634317713436 is a wasteful number, since it uses less digits than its factorization.

634317713436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924594 (or 924592 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 48.

The spelling of 634317713436 in words is "six hundred thirty-four billion, three hundred seventeen million, seven hundred thirteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 5227 10454 15681 20908 31362 57497 62724 114994 172491 229988 344982 689964 919349 1838698 2758047 3677396 5516094 10112839 11032188 20225678 30338517 40451356 60677034 121354068 4805437223 9610874446 14416311669 19221748892 28832623338 52859809453 57665246676 105719618906 158579428359 211439237812 317158856718 634317713436