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10076266122 = 23131313672687
BaseRepresentation
bin10010110001001011…
…11001111010001010
3222000020021100120120
421120211321322022
5131114011003442
64343505204110
7504461564106
oct113045717212
928006240516
1010076266122
11430087596a
121b52630636
13c47741160
146b8336906
153de9254ec
hex258979e8a

10076266122 has 64 divisors (see below), whose sum is σ = 21936144384. Its totient is φ = 3067197120.

The previous prime is 10076266093. The next prime is 10076266217. The reversal of 10076266122 is 22166267001.

10076266122 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 2×100762661222 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3748663 + ... + 3751349.

It is an arithmetic number, because the mean of its divisors is an integer number (342752256).

Almost surely, 210076266122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10076266122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968072192).

10076266122 is an abundant number, since it is smaller than the sum of its proper divisors (11859878262).

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

10076266122 is a wasteful number, since it uses less digits than its factorization.

10076266122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203.

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10076266122 in words is "ten billion, seventy-six million, two hundred sixty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 131 262 367 393 734 786 1101 1703 2202 2687 3406 4771 5109 5374 8061 9542 10218 14313 16122 28626 34931 48077 69862 96154 104793 144231 209586 288462 351997 625001 703994 986129 1055991 1250002 1875003 1972258 2111982 2958387 3750006 4575961 5916774 9151922 12819677 13727883 25639354 27455766 38459031 76918062 129182899 258365798 387548697 775097394 1679377687 3358755374 5038133061 10076266122