Search a number
-
+
10566135232 = 262331231551
BaseRepresentation
bin10011101011100101…
…00110110111000000
31000021101001021122221
421311302212313000
5133114412311412
64504244540424
7522560444662
oct116562466700
930241037587
1010566135232
114532342874
12206a6b1714
13cc5089c33
14723412532
1541c93bb07
hex275ca6dc0

10566135232 has 56 divisors (see below), whose sum is σ = 22584655872. Its totient is φ = 4890336000.

The previous prime is 10566135193. The next prime is 10566135233. The reversal of 10566135232 is 23253166501.

10566135232 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 2×105661352322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10566135233) 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 7 ways as a sum of consecutive naturals, for example, 70144 + ... + 161407.

Almost surely, 210566135232 is an apocalyptic number.

It is an amenable number.

10566135232 is an abundant number, since it is smaller than the sum of its proper divisors (12018520640).

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

10566135232 is a wasteful number, since it uses less digits than its factorization.

10566135232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231617 (or 231607 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 10566135232 in words is "ten billion, five hundred sixty-six million, one hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2852 5704 11408 22816 45632 231551 463102 926204 1852408 3704816 5325673 7178081 7409632 10651346 14356162 14819264 21302692 28712324 42605384 57424648 85210768 114849296 165095863 170421536 229698592 330191726 340843072 459397184 660383452 1320766904 2641533808 5283067616 10566135232