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242766411640404 = 223836473137120091
BaseRepresentation
bin110111001100101101110101…
…101110101010111001010100
31011211120020112122010012111020
4313030231311232222321110
5223304441102334443104
62220153203324041140
7102064202664341661
oct6714556556527124
91154506478105436
10242766411640404
1170397725511223
12232899100931b0
13a55ca0b439582
1443d3d580aaa68
151d0eda13de2d9
hexdccb75baae54

242766411640404 has 96 divisors (see below), whose sum is σ = 574353590178816. Its totient is φ = 79797495429120.

The previous prime is 242766411640397. The next prime is 242766411640451. The reversal of 242766411640404 is 404046114667242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2021460399 + ... + 2021580489.

It is an arithmetic number, because the mean of its divisors is an integer number (5982849897696).

Almost surely, 2242766411640404 is an apocalyptic number.

It is an amenable number.

242766411640404 is an abundant number, since it is smaller than the sum of its proper divisors (331587178538412).

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

242766411640404 is a wasteful number, since it uses less digits than its factorization.

242766411640404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123965 (or 123963 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 242766411640404 in words is "two hundred forty-two trillion, seven hundred sixty-six billion, four hundred eleven million, six hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 647 996 1294 1941 2588 3137 3882 6274 7764 9411 12548 18822 37644 53701 107402 120091 161103 214804 240182 260371 322206 360273 480364 520742 644412 720546 781113 1041484 1441092 1562226 2029639 3124452 4059278 6088917 8118556 9967553 12177834 19935106 24355668 29902659 39870212 59805318 77698877 119610636 155397754 168460037 233096631 310795508 336920074 376725467 466193262 505380111 673840148 753450934 932386524 1010760222 1130176401 1506901868 2021520444 2260352802 4520705604 6449006791 12898013582 19347020373 25796027164 31268213761 38694040746 62536427522 77388081492 93804641283 125072855044 187609282566 243741377149 375218565132 487482754298 731224131447 974965508596 1462448262894 2924896525788 20230534303367 40461068606734 60691602910101 80922137213468 121383205820202 242766411640404