Search a number
-
+
10597055364 = 223472192432
BaseRepresentation
bin10011101111010001…
…00011101110000100
31000100112020012010000
421313220203232010
5133200321232424
64511311401300
7523414325100
oct116750435604
930315205100
1010597055364
1145488415a5
122078b23230
13ccb5c497c
14727580900
154204e83c9
hex277a23b84

10597055364 has 405 divisors, whose sum is σ = 34820408007. Its totient is φ = 2801669472.

The previous prime is 10597055347. The next prime is 10597055369. The reversal of 10597055364 is 46355079501.

The square root of 10597055364 is 102942.

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

10597055364 is a `hidden beast` number, since 1 + 0 + 5 + 97 + 0 + 553 + 6 + 4 = 666.

10597055364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105970553642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10597055369) 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 134 ways as a sum of consecutive naturals, for example, 246443127 + ... + 246443169.

Almost surely, 210597055364 is an apocalyptic number.

10597055364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10597055364 is the 102942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10597055364

10597055364 is an abundant number, since it is smaller than the sum of its proper divisors (24223352643).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10597055364 is a wasteful number, since it uses less digits than its factorization.

10597055364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 10597055364 in words is "ten billion, five hundred ninety-seven million, fifty-five thousand, three hundred sixty-four".