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23342268510 = 23251122143459
BaseRepresentation
bin10101101111010011…
…101100000001011110
32020020202121002201100
4111233103230001132
5340301110043020
614420121453530
71454305002651
oct255723540136
966222532640
1023342268510
119999113900
1246353412a6
13227cc69202
1411b6145898
159193bca90
hex56f4ec05e

23342268510 has 72 divisors (see below), whose sum is σ = 66708762120. Its totient is φ = 5658729120.

The previous prime is 23342268491. The next prime is 23342268527. The reversal of 23342268510 is 1586224332.

23342268510 is a `hidden beast` number, since 2 + 3 + 342 + 268 + 51 + 0 = 666.

It is a super-2 number, since 2×233422685102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1060840 + ... + 1082619.

It is an arithmetic number, because the mean of its divisors is an integer number (926510585).

Almost surely, 223342268510 is an apocalyptic number.

23342268510 is an abundant number, since it is smaller than the sum of its proper divisors (43366493610).

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

23342268510 is a wasteful number, since it uses less digits than its factorization.

23342268510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143494 (or 2143480 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23342268510 in words is "twenty-three billion, three hundred forty-two million, two hundred sixty-eight thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 2143459 4286918 6430377 10717295 12860754 19291131 21434590 23578049 32151885 38582262 47156098 64303770 70734147 96455655 117890245 141468294 192911310 212202441 235780490 259358539 353670735 424404882 518717078 707341470 778075617 1061012205 1296792695 1556151234 2122024410 2334226851 2593585390 3890378085 4668453702 7780756170 11671134255 23342268510