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59018385969 = 34269932
BaseRepresentation
bin110110111101110001…
…010001101000110001
312122100002111122110000
4312331301101220301
51431332201322334
643040200500213
74156350001134
oct667561215061
9178302448400
1059018385969
11230363819a4
12b53117a669
13574728989a
142bdc37021b
1518064a4299
hexdbdc51a31

59018385969 has 15 divisors (see below), whose sum is σ = 88166534203. Its totient is φ = 39344133024.

The previous prime is 59018385967. The next prime is 59018386057. The reversal of 59018385969 is 96958381095.

The square root of 59018385969 is 242937.

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

59018385969 is a `hidden beast` number, since 5 + 9 + 0 + 1 + 8 + 38 + 596 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2701400625 + 56316985344 = 51975^2 + 237312^2 .

It is not a de Polignac number, because 59018385969 - 21 = 59018385967 is a prime.

It is a super-2 number, since 2×590183859692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59018385961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2172937 + ... + 2199929.

Almost surely, 259018385969 is an apocalyptic number.

59018385969 is the 242937-th square number.

59018385969 is the 121469-th centered octagonal number.

It is an amenable number.

59018385969 is a deficient number, since it is larger than the sum of its proper divisors (29148148234).

59018385969 is an frugal number, since it uses more digits than its factorization.

59018385969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53998 (or 26996 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 59018385969 in words is "fifty-nine billion, eighteen million, three hundred eighty-five thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 26993 80979 242937 728811 2186433 728622049 2185866147 6557598441 19672795323 59018385969