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214261686725 = 52291811632781
BaseRepresentation
bin1100011110001011111…
…1011110000111000101
3202111001021011102202212
43013202333132013011
512002301442433400
6242232551313205
721323414200412
oct3074277360705
9674037142685
10214261686725
1182960155559
123563797b805
1317287c02c68
14a528237109
155890549335
hex31e2fde1c5

214261686725 has 24 divisors (see below), whose sum is σ = 276364681320. Its totient is φ = 164584224000.

The previous prime is 214261686721. The next prime is 214261686731. The reversal of 214261686725 is 527686162412.

It can be written as a sum of positive squares in 12 ways, for example, as 64426115329 + 149835571396 = 253823^2 + 387086^2 .

It is not a de Polignac number, because 214261686725 - 22 = 214261686721 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214261686721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685166 + ... + 947615.

It is an arithmetic number, because the mean of its divisors is an integer number (11515195055).

Almost surely, 2214261686725 is an apocalyptic number.

214261686725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214261686725 is a deficient number, since it is larger than the sum of its proper divisors (62102994595).

214261686725 is a wasteful number, since it uses less digits than its factorization.

214261686725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633001 (or 1632996 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The spelling of 214261686725 in words is "two hundred fourteen billion, two hundred sixty-one million, six hundred eighty-six thousand, seven hundred twenty-five".

Divisors: 1 5 25 29 145 181 725 905 4525 5249 26245 131225 1632781 8163905 40819525 47350649 236753245 295533361 1183766225 1477666805 7388334025 8570467469 42852337345 214261686725