Search a number
-
+
10676026000 = 24535338013
BaseRepresentation
bin10011111000101011…
…10011101010010000
31000120000211022110101
421330111303222100
5133331030313000
64523212142144
7525363503143
oct117425635220
930500738411
1010676026000
11458937a392
12209b467954
131011a84663
14733c5a05a
154273e6e6a
hex27c573a90

10676026000 has 40 divisors (see below), whose sum is σ = 25814635704. Its totient is φ = 4270409600.

The previous prime is 10676025967. The next prime is 10676026013. The reversal of 10676026000 is 62067601.

10676026000 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 4 ways, for example, as 95023504 + 10581002496 = 9748^2 + 102864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106760260002 (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 10676026000.

It is an unprimeable number.

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, 2667007 + ... + 2671006.

Almost surely, 210676026000 is an apocalyptic number.

10676026000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10676026000 is an abundant number, since it is smaller than the sum of its proper divisors (15138609704).

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

10676026000 is an equidigital number, since it uses as much as digits as its factorization.

10676026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338036 (or 5338020 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 10676026000 in words is "ten billion, six hundred seventy-six million, twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5338013 10676026 21352052 26690065 42704104 53380130 85408208 106760260 133450325 213520520 266900650 427041040 533801300 667251625 1067602600 1334503250 2135205200 2669006500 5338013000 10676026000