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10461330642 = 2373712595347
BaseRepresentation
bin10011011111000101…
…10011110011010010
31000000001211122210110
421233202303303102
5132411100040032
64450022342150
7520145562150
oct115742636322
930001748713
1010461330642
11448916a604
12203b58a956
13ca9453599
147135303d0
154136387cc
hex26f8b3cd2

10461330642 has 64 divisors (see below), whose sum is σ = 24581975040. Its totient is φ = 2905315776.

The previous prime is 10461330629. The next prime is 10461330673. The reversal of 10461330642 is 24603316401.

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 31 ways as a sum of consecutive naturals, for example, 1953813 + ... + 1959159.

It is an arithmetic number, because the mean of its divisors is an integer number (384093360).

Almost surely, 210461330642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10461330642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290987520).

10461330642 is an abundant number, since it is smaller than the sum of its proper divisors (14120644398).

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

10461330642 is a wasteful number, since it uses less digits than its factorization.

10461330642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 10461330642 in words is "ten billion, four hundred sixty-one million, three hundred thirty thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1259 1554 2518 3777 5347 7554 8813 10694 16041 17626 26439 32082 37429 46583 52878 74858 93166 112287 139749 197839 224574 279498 326081 395678 593517 652162 978243 1187034 1384873 1956486 2769746 4154619 6731873 8309238 13463746 20195619 40391238 47123111 94246222 141369333 249079301 282738666 498158602 747237903 1494475806 1743555107 3487110214 5230665321 10461330642