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634342140036 = 22321161129120341
BaseRepresentation
bin10010011101100011011…
…11001110100010000100
32020122100101122112012200
421032301233032202010
540343113041440121
61203225053314500
763554406140163
oct11166157164204
92218311575180
10634342140036
11225028667710
12a2b33a95a30
1347a837a7727
14229b92653da
1511779ca1a26
hex93b1bce884

634342140036 has 144 divisors (see below), whose sum is σ = 1779387320256. Its totient is φ = 188917920000.

The previous prime is 634342139971. The next prime is 634342140053. The reversal of 634342140036 is 630041243436.

634342140036 is a `hidden beast` number, since 6 + 3 + 434 + 214 + 0 + 0 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31175226 + ... + 31195566.

Almost surely, 2634342140036 is an apocalyptic number.

634342140036 is a gapful number since it is divisible by the number (66) 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 634342140036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889693660128).

634342140036 is an abundant number, since it is smaller than the sum of its proper divisors (1145045180220).

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

634342140036 is a wasteful number, since it uses less digits than its factorization.

634342140036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21714 (or 21709 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 634342140036 in words is "six hundred thirty-four billion, three hundred forty-two million, one hundred forty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1291 1342 2013 2196 2582 2684 3873 4026 5164 6039 7746 8052 11619 12078 14201 15492 20341 23238 24156 28402 40682 42603 46476 56804 61023 78751 81364 85206 122046 127809 157502 170412 183069 223751 236253 244092 255618 315004 366138 447502 472506 511236 671253 708759 732276 866261 895004 945012 1240801 1342506 1417518 1732522 2013759 2481602 2598783 2685012 2835036 3465044 3722403 4027518 4963204 5197566 7444806 7796349 8055036 10395132 11167209 13648811 14889612 15592698 22334418 26260231 27297622 31185396 40946433 44668836 52520462 54595244 78780693 81892866 105040924 122839299 157561386 163785732 236342079 245678598 288862541 315122772 472684158 491357196 577725082 866587623 945368316 1155450164 1601874091 1733175246 2599762869 3203748182 3466350492 4805622273 5199525738 6407496364 9611244546 10399051476 14416866819 17620615001 19222489092 28833733638 35241230002 52861845003 57667467276 70482460004 105723690006 158585535009 211447380012 317171070018 634342140036