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11755980625 = 5443372
BaseRepresentation
bin10101111001011011…
…00000011101010001
31010100021221200200211
422330231200131101
5143034012340000
65222311244121
7564216120664
oct127455403521
933307850624
1011755980625
114a92a43274
122341079641
13115473736c
147d745b6db
1548c11d7ba
hex2bcb60751

11755980625 has 15 divisors (see below), whose sum is σ = 14693661367. Its totient is φ = 9402616000.

The previous prime is 11755980623. The next prime is 11755980653. The reversal of 11755980625 is 52608955711.

The square root of 11755980625 is 108425.

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

11755980625 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 7 ways, for example, as 11394068049 + 361912576 = 106743^2 + 19024^2 .

It is not a de Polignac number, because 11755980625 - 21 = 11755980623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11755980623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2708457 + ... + 2712793.

Almost surely, 211755980625 is an apocalyptic number.

11755980625 is the 108425-th square number.

11755980625 is the 54213-rd centered octagonal number.

It is an amenable number.

11755980625 is a deficient number, since it is larger than the sum of its proper divisors (2937680742).

11755980625 is an frugal number, since it uses more digits than its factorization.

11755980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 49.

Multiplying 11755980625 by its sum of digits (49), we get a square (576043050625 = 7589752).

The spelling of 11755980625 in words is "eleven billion, seven hundred fifty-five million, nine hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 4337 21685 108425 542125 2710625 18809569 94047845 470239225 2351196125 11755980625