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2315075211768 = 2331138812259527
BaseRepresentation
bin100001101100000101001…
…111000101000111111000
322012022121120102222112210
4201230011033011013320
5300412233223234033
64531310400135120
7326154502421214
oct41540517050770
98168546388483
102315075211768
118128aa66a890
123148160074a0
1313a406683b17
148009bbd3944
1540348daad63
hex21b053c51f8

2315075211768 has 64 divisors (see below), whose sum is σ = 6315471141120. Its totient is φ = 701356870400.

The previous prime is 2315075211767. The next prime is 2315075211797. The reversal of 2315075211768 is 8671125705132.

It is a super-2 number, since 2×23150752117682 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315075211767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105180 + ... + 2154347.

It is an arithmetic number, because the mean of its divisors is an integer number (98679236580).

Almost surely, 22315075211768 is an apocalyptic number.

It is an amenable number.

2315075211768 is an abundant number, since it is smaller than the sum of its proper divisors (4000395929352).

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

2315075211768 is a wasteful number, since it uses less digits than its factorization.

2315075211768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263428 (or 2263424 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 2315075211768 in words is "two trillion, three hundred fifteen billion, seventy-five million, two hundred eleven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3881 7762 11643 15524 23286 31048 42691 46572 85382 93144 128073 170764 256146 341528 512292 1024584 2259527 4519054 6778581 9038108 13557162 18076216 24854797 27114324 49709594 54228648 74564391 99419188 149128782 198838376 298257564 596515128 8769224287 17538448574 26307672861 35076897148 52615345722 70153794296 96461467157 105230691444 192922934314 210461382888 289384401471 385845868628 578768802942 771691737256 1157537605884 2315075211768