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242828679067320 = 23353165276526631
BaseRepresentation
bin110111001101100111110101…
…001010000011011010111000
31011211210012021011021020020010
4313031213311022003122320
5223312001113320123240
62220241542151101520
7102101536015624533
oct6715476512033270
91154705234236203
10242828679067320
1170411078891725
12232999a93718a0
13a565852875698
1443d6d83b4da1a
151d117e7c2c280
hexdcd9f52836b8

242828679067320 has 64 divisors (see below), whose sum is σ = 751985586800640. Its totient is φ = 62665465564800.

The previous prime is 242828679067307. The next prime is 242828679067343. The reversal of 242828679067320 is 23760976828242.

It is a super-3 number, since 3×2428286790673203 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32638259596 + ... + 32638267035.

It is an arithmetic number, because the mean of its divisors is an integer number (11749774793760).

Almost surely, 2242828679067320 is an apocalyptic number.

242828679067320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242828679067320 is an abundant number, since it is smaller than the sum of its proper divisors (509156907733320).

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

242828679067320 is a wasteful number, since it uses less digits than its factorization.

242828679067320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65276526676 (or 65276526672 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 242828679067320 in words is "two hundred forty-two trillion, eight hundred twenty-eight billion, six hundred seventy-nine million, sixty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 65276526631 130553053262 195829579893 261106106524 326382633155 391659159786 522212213048 652765266310 783318319572 979147899465 1305530532620 1566636639144 1958295798930 2023572325561 2611061065240 3916591597860 4047144651122 6070716976683 7833183195720 8094289302244 10117861627805 12141433953366 16188578604488 20235723255610 24282867906732 30353584883415 40471446511220 48565735813464 60707169766830 80942893022440 121414339533660 242828679067320