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10928198736 = 243272131091093
BaseRepresentation
bin10100010110101111…
…10001010001010000
31001012121100000102100
422023113301101100
5134340104324421
65004221120400
7534545104500
oct121327612120
931177300370
1010928198736
1146a8757504
12214b9b9100
1310520a7cb0
1475953da00
1543e609c26
hex28b5f1450

10928198736 has 360 divisors, whose sum is σ = 38700621960. Its totient is φ = 2853107712.

The previous prime is 10928198719. The next prime is 10928198741. The reversal of 10928198736 is 63789182901.

It can be written as a sum of positive squares in 4 ways, for example, as 3801462336 + 7126736400 = 61656^2 + 84420^2 .

It is a super-2 number, since 2×109281987362 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9997806 + ... + 9998898.

Almost surely, 210928198736 is an apocalyptic number.

10928198736 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 10928198736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19350310980).

10928198736 is an abundant number, since it is smaller than the sum of its proper divisors (27772423224).

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

10928198736 is a wasteful number, since it uses less digits than its factorization.

10928198736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10928198736 in words is "ten billion, nine hundred twenty-eight million, one hundred ninety-eight thousand, seven hundred thirty-six".