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12255723940641 = 31917319734918077
BaseRepresentation
bin1011001001011000001000…
…0100100110101100100001
31121101122011110210021100020
42302112002010212230201
53101244210312100031
642022111333344053
72403306156441606
oct262260204465441
947348143707306
1012255723940641
1139a5694727405
12145b2a9198029
136ab92c5ac6ac
1430527469c6ad
15163bed4e2096
hexb2582126b21

12255723940641 has 64 divisors (see below), whose sum is σ = 17439051168000. Its totient is φ = 7634288987136.

The previous prime is 12255723940609. The next prime is 12255723940657. The reversal of 12255723940641 is 14604932755221.

It is not a de Polignac number, because 12255723940641 - 25 = 12255723940609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12255723940601) 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 63 ways as a sum of consecutive naturals, for example, 677964295 + ... + 677982371.

It is an arithmetic number, because the mean of its divisors is an integer number (272485174500).

Almost surely, 212255723940641 is an apocalyptic number.

It is an amenable number.

12255723940641 is a deficient number, since it is larger than the sum of its proper divisors (5183327227359).

12255723940641 is a wasteful number, since it uses less digits than its factorization.

12255723940641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18818.

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 12255723940641 in words is "twelve trillion, two hundred fifty-five billion, seven hundred twenty-three million, nine hundred forty thousand, six hundred forty-one".

Divisors: 1 3 19 57 173 197 349 519 591 1047 3287 3743 6631 9861 11229 18077 19893 34081 54231 60377 68753 102243 181131 206259 343463 647539 1030389 1147163 1306307 1942617 3127321 3441489 3561169 3918921 6308873 9381963 10683507 11894269 18926619 35682807 59419099 67662211 119868587 178257297 202986633 225991111 359605761 616082237 677973333 1091435029 1242847981 1848246711 3274305087 3728543943 11705562503 20737265551 23614111639 35116687509 62211796653 70842334917 215012700713 645038102139 4085241313547 12255723940641