Search a number
-
+
10652133612 = 223232772503
BaseRepresentation
bin10011110101110101…
…01010100011101100
31000111100212110021010
421322322222203230
5133303421233422
64521000105220
7524653433061
oct117272524354
930440773233
1010652133612
11457694070a
122093465210
131009b3a653
147309dac68
15425277b0c
hex27aeaa8ec

10652133612 has 72 divisors (see below), whose sum is σ = 26081346816. Its totient is φ = 3377343552.

The previous prime is 10652133593. The next prime is 10652133631. The reversal of 10652133612 is 21633125601.

It is an interprime number because it is at equal distance from previous prime (10652133593) and next prime (10652133631).

It is a super-2 number, since 2×106521336122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10652133612.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21176953 + ... + 21177455.

It is an arithmetic number, because the mean of its divisors is an integer number (362240928).

Almost surely, 210652133612 is an apocalyptic number.

10652133612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10652133612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040673408).

10652133612 is an abundant number, since it is smaller than the sum of its proper divisors (15429213204).

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

10652133612 is a wasteful number, since it uses less digits than its factorization.

10652133612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 10652133612 in words is "ten billion, six hundred fifty-two million, one hundred thirty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 277 503 554 831 1006 1108 1509 1662 2012 3018 3324 6036 6371 11569 12742 19113 23138 25484 34707 38226 46276 69414 76452 76729 138828 139331 153458 230187 278662 306916 417993 460374 557324 835986 920748 1671972 1764767 3204613 3529534 5294301 6409226 7059068 9613839 10588602 12818452 19227678 21177204 38455356 38594687 77189374 115784061 154378748 231568122 463136244 887677801 1775355602 2663033403 3550711204 5326066806 10652133612