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2256464255337 = 3229311597174631
BaseRepresentation
bin100000110101011111110…
…000000001100101101001
321222201022212120220100200
4200311133300001211221
5243432214322132322
64444334432022413
7322011200464215
oct40653760014551
97881285526320
102256464255337
1179aa63278816
12305399391a09
13134a2593a406
147b2db9dd945
153da685868ac
hex20d5fc01969

2256464255337 has 48 divisors (see below), whose sum is σ = 3482692961280. Its totient is φ = 1404695779200.

The previous prime is 2256464255317. The next prime is 2256464255359. The reversal of 2256464255337 is 7335524646522.

2256464255337 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 46 + 42 + 553 + 3 + 7 = 666.

It is not a de Polignac number, because 2256464255337 - 28 = 2256464255081 is a prime.

It is a super-2 number, since 2×22564642553372 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2256464255317) 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 47 ways as a sum of consecutive naturals, for example, 12834012 + ... + 13008642.

It is an arithmetic number, because the mean of its divisors is an integer number (72556103360).

Almost surely, 22256464255337 is an apocalyptic number.

It is an amenable number.

2256464255337 is a deficient number, since it is larger than the sum of its proper divisors (1226228705943).

2256464255337 is a wasteful number, since it uses less digits than its factorization.

2256464255337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176294 (or 176291 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 54.

The spelling of 2256464255337 in words is "two trillion, two hundred fifty-six billion, four hundred sixty-four million, two hundred fifty-five thousand, three hundred thirty-seven".

Divisors: 1 3 9 29 31 87 93 261 279 899 1597 2697 4791 8091 14373 46313 49507 138939 148521 174631 416817 445563 523893 1435703 1571679 4307109 5064299 5413561 12921327 15192897 16240683 45578691 48722049 156993269 278885707 470979807 836657121 1412939421 2509971363 8087685503 8645456917 24263056509 25936370751 72789169527 77809112253 250718250593 752154751779 2256464255337