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45723359229025 = 52337240132
BaseRepresentation
bin10100110010101110011001…
…00101011011010001100001
312222220002222112001022122011
422121113030211123101201
521443112414430312100
6241125004331312521
712426255315565012
oct1231271445332141
9188802875038564
1045723359229025
1113629193308785
1251655b05ab741
131c6890442296a
14b41045645009
15544582113bba
hex2995cc95b461

45723359229025 has 27 divisors (see below), whose sum is σ = 56879878830411. Its totient is φ = 36461057283840.

The previous prime is 45723359228999. The next prime is 45723359229077. The reversal of 45723359229025 is 52092295332754.

The square root of 45723359229025 is 6761905.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 23284417604449 + 22438941624576 = 4825393^2 + 4736976^2 .

It is not a de Polignac number, because 45723359229025 - 221 = 45723357131873 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11393807919 + ... + 11393811931.

Almost surely, 245723359229025 is an apocalyptic number.

45723359229025 is the 6761905-th square number.

45723359229025 is the 3380953-rd centered octagonal number.

It is an amenable number.

45723359229025 is a deficient number, since it is larger than the sum of its proper divisors (11156519601386).

45723359229025 is an frugal number, since it uses more digits than its factorization.

45723359229025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8710 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 58.

The spelling of 45723359229025 in words is "forty-five trillion, seven hundred twenty-three billion, three hundred fifty-nine million, two hundred twenty-nine thousand, twenty-five".

Divisors: 1 5 25 337 1685 4013 8425 20065 100325 113569 567845 1352381 2839225 6761905 16104169 33809525 80520845 402604225 455752397 2278761985 5427104953 11393809925 27135524765 135677623825 1828934369161 9144671845805 45723359229025