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10510051136 = 261314938461
BaseRepresentation
bin10011100100111001…
…01010011101000000
31000010110111220202012
421302130222131000
5133011033114021
64454522512052
7521306650334
oct116234523500
930113456665
1010510051136
114503716a82
122053965628
13cb6581490
14719bb37c4
15417a5e35b
hex27272a740

10510051136 has 56 divisors (see below), whose sum is σ = 22477881384. Its totient is φ = 4846970880.

The previous prime is 10510051133. The next prime is 10510051141. The reversal of 10510051136 is 63115001501.

It can be written as a sum of positive squares in 4 ways, for example, as 3278249536 + 7231801600 = 57256^2 + 85040^2 .

It is a super-2 number, since 2×105100511362 (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 (10510051133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1237946 + ... + 1246406.

It is an arithmetic number, because the mean of its divisors is an integer number (401390739).

Almost surely, 210510051136 is an apocalyptic number.

10510051136 is a gapful number since it is divisible by the number (16) 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 10510051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238940692).

10510051136 is an abundant number, since it is smaller than the sum of its proper divisors (11967830248).

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

10510051136 is a wasteful number, since it uses less digits than its factorization.

10510051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979 (or 9969 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 10510051136 its reverse (63115001501), we get a palindrome (73625052637).

The spelling of 10510051136 in words is "ten billion, five hundred ten million, fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1493 2986 5972 8461 11944 16922 19409 23888 33844 38818 47776 67688 77636 95552 109993 135376 155272 219986 270752 310544 439972 541504 621088 879944 1242176 1759888 3519776 7039552 12632273 25264546 50529092 101058184 164219549 202116368 328439098 404232736 656878196 808465472 1313756392 2627512784 5255025568 10510051136