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93730884025 = 52612312
BaseRepresentation
bin101011101001011001…
…0111100100110111001
322221221021012020212011
41113102302330212321
53013430101242100
6111020454045521
76525511240312
oct1272262744671
9287837166764
1093730884025
1136829705519
12161ba3498a1
138ab9a6a36c
1447725db609
152688b93bba
hex15d2cbc9b9

93730884025 has 9 divisors (see below), whose sum is σ = 116228194383. Its totient is φ = 74983482600.

The previous prime is 93730884011. The next prime is 93730884031. The reversal of 93730884025 is 52048803739.

The square root of 93730884025 is 306155.

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., 33743118249 + 59987765776 = 183693^2 + 244924^2 .

It is not a de Polignac number, because 93730884025 - 227 = 93596666297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 93730884025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1500160 + ... + 1561390.

Almost surely, 293730884025 is an apocalyptic number.

93730884025 is the 306155-th square number.

93730884025 is the 153078-th centered octagonal number.

It is an amenable number.

93730884025 is a deficient number, since it is larger than the sum of its proper divisors (22497310358).

93730884025 is an frugal number, since it uses more digits than its factorization.

93730884025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122472 (or 61236 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 93730884025 by its sum of digits (49), we get a square (4592813317225 = 21430852).

The spelling of 93730884025 in words is "ninety-three billion, seven hundred thirty million, eight hundred eighty-four thousand, twenty-five".

Divisors: 1 5 25 61231 306155 1530775 3749235361 18746176805 93730884025