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214532817237325 = 52113257295489573
BaseRepresentation
bin110000110001110111010000…
…010111010011010101001101
31001010121010200220012010000201
4300301313100113103111031
5211104401202203043300
62040135003215053501
763121325126533426
oct6061672027232515
91033533626163021
10214532817237325
11623a1947520574
1220089a92511291
1392924862a9a02
143ad962d95064d
1519c0756bdb66a
hexc31dd05d354d

214532817237325 has 24 divisors (see below), whose sum is σ = 269419119865128. Its totient is φ = 169445540167680.

The previous prime is 214532817237269. The next prime is 214532817237353. The reversal of 214532817237325 is 523732718235412.

214532817237325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 28282464151876 + 186250353085449 = 5318126^2 + 13647357^2 .

It is not a de Polignac number, because 214532817237325 - 29 = 214532817236813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147018762 + ... + 148470811.

It is an arithmetic number, because the mean of its divisors is an integer number (11225796661047).

Almost surely, 2214532817237325 is an apocalyptic number.

214532817237325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214532817237325 is a deficient number, since it is larger than the sum of its proper divisors (54886302627803).

214532817237325 is a wasteful number, since it uses less digits than its factorization.

214532817237325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295489953 (or 295489948 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 55.

The spelling of 214532817237325 in words is "two hundred fourteen trillion, five hundred thirty-two billion, eight hundred seventeen million, two hundred thirty-seven thousand, three hundred twenty-five".

Divisors: 1 5 25 113 257 565 1285 2825 6425 29041 145205 726025 295489573 1477447865 7387239325 33390321749 75940820261 166951608745 379704101305 834758043725 1898520506525 8581312689493 42906563447465 214532817237325