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634338114345 = 395132321557
BaseRepresentation
bin10010011101100010111…
…11110111101100101001
32020122100010002000000000
421032301133313230221
540343111024124340
61203224431133213
763554330002365
oct11166137675451
92218303060000
10634338114345
112250263680a1
12a2b32674209
1347a829c8270
14229b88d82a5
1511779758d30
hex93b17f7b29

634338114345 has 160 divisors (see below), whose sum is σ = 1283140438272. Its totient is φ = 298697870592.

The previous prime is 634338114331. The next prime is 634338114373. The reversal of 634338114345 is 543411833436.

634338114345 is a `hidden beast` number, since 63 + 433 + 8 + 114 + 3 + 45 = 666.

It is not a de Polignac number, because 634338114345 - 24 = 634338114329 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 634338114345.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29415307 + ... + 29436863.

Almost surely, 2634338114345 is an apocalyptic number.

634338114345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

634338114345 is an abundant number, since it is smaller than the sum of its proper divisors (648802323927).

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

634338114345 is an equidigital number, since it uses as much as digits as its factorization.

634338114345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21625 (or 21601 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 634338114345 in words is "six hundred thirty-four billion, three hundred thirty-eight million, one hundred fourteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 81 115 117 135 195 207 243 299 345 351 405 585 621 729 897 1035 1053 1215 1495 1755 1863 2187 2691 3105 3159 3645 4485 5265 5589 6561 8073 9315 9477 10935 13455 15795 16767 19683 21557 24219 27945 28431 32805 40365 47385 50301 64671 72657 83835 85293 98415 107785 121095 142155 150903 194013 217971 251505 255879 280241 323355 363285 426465 452709 495811 582039 653913 754515 840723 970065 1089855 1279395 1401205 1487433 1746117 1961739 2263545 2479055 2522169 2910195 3269565 4203615 4462299 5238351 5885217 6445543 7437165 7566507 8730585 9808695 12610845 13386897 15715053 19336629 22311495 22699521 26191755 29426085 32227715 37832535 40160691 47145159 58009887 66934485 68098563 78575265 96683145 113497605 120482073 141435477 174029661 200803455 204295689 235725795 290049435 340492815 361446219 424306431 522088983 602410365 612887067 707177385 870148305 1021478445 1084338657 1566266949 1807231095 1838661201 2121532155 2610444915 3064435335 3253015971 4698800847 5421693285 5515983603 7831334745 9193306005 9759047913 14096402541 16265079855 23494004235 27579918015 42289207623 48795239565 70482012705 126867622869 211446038115 634338114345