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2118770953344 = 27332332631203
BaseRepresentation
bin11110110101010000100…
…101110000110010000000
321111112220210100102102000
4132311100211300302000
5234203220331001334
64301203330424000
7306035055644043
oct36652045606200
97445823312360
102118770953344
11747624a6aa71
122a2770132000
13124a50c271a6
14747988a4c5a
153a1aa10b299
hex1ed50970c80

2118770953344 has 128 divisors (see below), whose sum is σ = 6280157707200. Its totient is φ = 703225571328.

The previous prime is 2118770953333. The next prime is 2118770953349. The reversal of 2118770953344 is 4433590778112.

2118770953344 is a `hidden beast` number, since 2 + 1 + 187 + 70 + 9 + 53 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2118770953349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 510354 + ... + 2120849.

Almost surely, 22118770953344 is an apocalyptic number.

2118770953344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2118770953344 is an abundant number, since it is smaller than the sum of its proper divisors (4161386753856).

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

2118770953344 is a wasteful number, since it uses less digits than its factorization.

2118770953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631459 (or 2631441 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2118770953344 in words is "two trillion, one hundred eighteen billion, seven hundred seventy million, nine hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 233 288 384 432 466 576 699 864 932 1152 1398 1728 1864 2097 2796 3456 3728 4194 5592 6291 7456 8388 11184 12582 14912 16776 22368 25164 29824 33552 44736 50328 67104 89472 100656 134208 201312 268416 402624 805248 2631203 5262406 7893609 10524812 15787218 21049624 23680827 31574436 42099248 47361654 63148872 71042481 84198496 94723308 126297744 142084962 168396992 189446616 252595488 284169924 336793984 378893232 505190976 568339848 613070299 757786464 1010381952 1136679696 1226140598 1515572928 1839210897 2273359392 2452281196 3031145856 3678421794 4546718784 4904562392 5517632691 7356843588 9093437568 9809124784 11035265382 14713687176 16552898073 19618249568 22070530764 29427374352 33105796146 39236499136 44141061528 58854748704 66211592292 78472998272 88282123056 117709497408 132423184584 176564246112 235418994816 264846369168 353128492224 529692738336 706256984448 1059385476672 2118770953344