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45368298581034 = 231113318571990319
BaseRepresentation
bin10100101000011001000010…
…10100100010110000101010
312221122011111201210120022010
422110030201110202300222
521421303233414043114
6240253524133340350
712361515506065662
oct1224144124426052
9187564451716263
1045368298581034
1113501650888720
12510881b4976b6
131c4129b27c890
14b2bba1a451a2
1553a200b78c59
hex294321522c2a

45368298581034 has 128 divisors (see below), whose sum is σ = 110166791454720. Its totient is φ = 12266727897600.

The previous prime is 45368298580993. The next prime is 45368298581059. The reversal of 45368298581034 is 43018589286354.

It is a super-2 number, since 2×453682985810342 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21799327 + ... + 23789645.

It is an arithmetic number, because the mean of its divisors is an integer number (860678058240).

Almost surely, 245368298581034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45368298581034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55083395727360).

45368298581034 is an abundant number, since it is smaller than the sum of its proper divisors (64798492873686).

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

45368298581034 is a wasteful number, since it uses less digits than its factorization.

45368298581034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991236.

The product of its (nonzero) digits is 199065600, while the sum is 66.

The spelling of 45368298581034 in words is "forty-five trillion, three hundred sixty-eight billion, two hundred ninety-eight million, five hundred eighty-one thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 341 403 429 682 806 857 858 1023 1209 1714 2046 2418 2571 4433 5142 8866 9427 11141 13299 18854 22282 26567 26598 28281 33423 53134 56562 66846 79701 122551 159402 245102 292237 345371 367653 584474 690742 735306 876711 1036113 1753422 1990319 2072226 3799081 3980638 5970957 7598162 11397243 11941914 21893509 22794486 25874147 43787018 51748294 61699889 65680527 77622441 123399778 131361054 155244882 185099667 284615617 370199334 569231234 678698779 802098557 853846851 1357397558 1604197114 1705703383 1707693702 2036096337 2406295671 3411406766 4072192674 4812591342 5117110149 8823084127 10234220298 17646168254 18762737213 22174143979 26469252381 37525474426 44348287958 52876804873 52938504762 56288211639 66522431937 105753609746 112576423278 133044863874 158630414619 243915583769 317260829238 487831167538 581644853603 687398463349 731746751307 1163289707206 1374796926698 1463493502614 1744934560809 2062195390047 3489869121618 4124390780094 7561383096839 15122766193678 22684149290517 45368298581034