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93945315025 = 5259210392
BaseRepresentation
bin101011101111110010…
…0111011111011010001
322222111012200110220001
41113133210323323101
53014400000040100
6111054034050001
76534024000502
oct1273744737321
9288435613801
1093945315025
1136929754721
121625a119901
138b22308003
144792c98ba9
15269c8edd6a
hex15df93bed1

93945315025 has 27 divisors (see below), whose sum is σ = 118614261531. Its totient is φ = 73811308080.

The previous prime is 93945315007. The next prime is 93945315031. The reversal of 93945315025 is 52051354939.

The square root of 93945315025 is 306505.

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

It can be written as a sum of positive squares in only one way, i.e., 33820313409 + 60125001616 = 183903^2 + 245204^2 .

It is not a de Polignac number, because 93945315025 - 223 = 93936926417 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, 90418456 + ... + 90419494.

Almost surely, 293945315025 is an apocalyptic number.

93945315025 is the 306505-th square number.

93945315025 is the 153253-rd centered octagonal number.

It is an amenable number.

93945315025 is a deficient number, since it is larger than the sum of its proper divisors (24668946506).

93945315025 is an frugal number, since it uses more digits than its factorization.

93945315025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 46.

The spelling of 93945315025 in words is "ninety-three billion, nine hundred forty-five million, three hundred fifteen thousand, twenty-five".

Divisors: 1 5 25 59 295 1039 1475 3481 5195 17405 25975 61301 87025 306505 1079521 1532525 3616759 5397605 18083795 26988025 63691739 90418975 318458695 1592293475 3757812601 18789063005 93945315025