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20917355225 = 52133713712697
BaseRepresentation
bin10011011110110001…
…011000001011011001
31222222202200202001012
4103132301120023121
5320314320331400
613335335303305
71340231404634
oct233661301331
958882622035
1020917355225
118964335638
12407921ab35
131c84769990
14102607cc1b
15826574d35
hex4dec582d9

20917355225 has 48 divisors (see below), whose sum is σ = 28899327408. Its totient is φ = 14918307840.

The previous prime is 20917355167. The next prime is 20917355233. The reversal of 20917355225 is 52255371902.

It can be written as a sum of positive squares in 24 ways, for example, as 14990818969 + 5926536256 = 122437^2 + 76984^2 .

It is not a de Polignac number, because 20917355225 - 212 = 20917351129 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1641077 + ... + 1653773.

It is an arithmetic number, because the mean of its divisors is an integer number (602069321).

Almost surely, 220917355225 is an apocalyptic number.

20917355225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20917355225 is a deficient number, since it is larger than the sum of its proper divisors (7981972183).

20917355225 is a wasteful number, since it uses less digits than its factorization.

20917355225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12894 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The spelling of 20917355225 in words is "twenty billion, nine hundred seventeen million, three hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 13 25 37 65 137 185 325 481 685 925 1781 2405 3425 5069 8905 12025 12697 25345 44525 63485 65897 126725 165061 317425 329485 469789 825305 1647425 1739489 2348945 4126525 6107257 8697445 11744725 22613357 30536285 43487225 64361093 113066785 152681425 321805465 565333925 836694209 1609027325 4183471045 20917355225