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256334525400645 = 33513136234000679
BaseRepresentation
bin111010010010001010001000…
…010101001000011001000101
31020121121100012210212222101000
4322102022020111020121011
5232044241102000310040
62305102242202123513
7104664362333403306
oct7222121025103105
91217540183788330
10256334525400645
1174748952a6364a
12248bb421ab0599
13b00531b9637a3
14474292b6067ad
151e97cb13c9130
hexe92288548645

256334525400645 has 64 divisors (see below), whose sum is σ = 459311349657600. Its totient is φ = 135630665501760.

The previous prime is 256334525400559. The next prime is 256334525400719. The reversal of 256334525400645 is 546004525433652.

256334525400645 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 3 + 4 + 52 + 540 + 0 + 6 + 45 = 666.

It is not a de Polignac number, because 256334525400645 - 211 = 256334525398597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 256334525400591 and 256334525400600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62072416 + ... + 66073094.

It is an arithmetic number, because the mean of its divisors is an integer number (7176739838400).

Almost surely, 2256334525400645 is an apocalyptic number.

It is an amenable number.

256334525400645 is a deficient number, since it is larger than the sum of its proper divisors (202976824256955).

256334525400645 is a wasteful number, since it uses less digits than its factorization.

256334525400645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004447 (or 4004441 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 256334525400645 in words is "two hundred fifty-six trillion, three hundred thirty-four billion, five hundred twenty-five million, four hundred thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 131 135 393 655 1179 1965 3537 3623 5895 10869 17685 18115 32607 54345 97821 163035 474613 489105 1423839 2373065 4000679 4271517 7119195 12002037 12814551 20003395 21357585 36006111 60010185 64072755 108018333 180030555 524088949 540091665 1572266847 2620444745 4716800541 7861334235 14150401623 14494460017 23584002705 43483380051 70752008115 72472300085 130450140153 217416900255 391350420459 652250700765 1898774262227 1956752102295 5696322786681 9493871311135 17088968360043 28481613933405 51266905080129 85444841800215 256334525400645