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20256261575 = 5211234636917
BaseRepresentation
bin10010110111010111…
…100000010111000111
31221021200201201001012
4102313113200113013
5312441100332300
613150001552435
71314653245124
oct226727402707
957250651035
1020256261575
11865514a150
123b1394571b
131baa8003c4
14da235174b
157d84da435
hex4b75e05c7

20256261575 has 48 divisors (see below), whose sum is σ = 28658451456. Its totient is φ = 14058844800.

The previous prime is 20256261569. The next prime is 20256261577. The reversal of 20256261575 is 57516265202.

It is not a de Polignac number, because 20256261575 - 24 = 20256261559 is a prime.

It is a super-2 number, since 2×202562615752 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20256261577) 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, 2925017 + ... + 2931933.

It is an arithmetic number, because the mean of its divisors is an integer number (597051072).

Almost surely, 220256261575 is an apocalyptic number.

20256261575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20256261575 is a deficient number, since it is larger than the sum of its proper divisors (8402189881).

20256261575 is a wasteful number, since it uses less digits than its factorization.

20256261575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7424 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 20256261575 in words is "twenty billion, two hundred fifty-six million, two hundred sixty-one thousand, five hundred seventy-five".

Divisors: 1 5 11 23 25 55 115 253 275 463 575 1265 2315 5093 6325 6917 10649 11575 25465 34585 53245 76087 117139 127325 159091 172925 266225 380435 585695 795455 1750001 1902175 2928475 3202571 3977275 8750005 16012855 35228281 43750025 73659133 80064275 176141405 368295665 810250463 880707025 1841478325 4051252315 20256261575