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10268709780 = 22357117120879
BaseRepresentation
bin10011001000001000…
…00001001110010100
3222111122101111122110
421210010001032110
5132012242203110
64414542031020
7512316410250
oct114404011624
928448344573
1010268709780
11439a46770a
121ba6b78470
13c78580c44
146d5b0d260
1540178aa20
hex264101394

10268709780 has 96 divisors (see below), whose sum is σ = 32889507840. Its totient is φ = 2345016960.

The previous prime is 10268709757. The next prime is 10268709797. The reversal of 10268709780 is 8790786201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481381 + ... + 502259.

It is an arithmetic number, because the mean of its divisors is an integer number (342599040).

Almost surely, 210268709780 is an apocalyptic number.

10268709780 is a gapful number since it is divisible by the number (10) 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 10268709780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444753920).

10268709780 is an abundant number, since it is smaller than the sum of its proper divisors (22620798060).

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

10268709780 is a wasteful number, since it uses less digits than its factorization.

10268709780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22069 (or 22067 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 10268709780 in words is "ten billion, two hundred sixty-eight million, seven hundred nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1171 2342 3513 4684 5855 7026 8197 11710 14052 16394 17565 20879 23420 24591 32788 35130 40985 41758 49182 62637 70260 81970 83516 98364 104395 122955 125274 146153 163940 208790 245910 250548 292306 313185 417580 438459 491820 584612 626370 730765 876918 1252740 1461530 1753836 2192295 2923060 4384590 8769180 24449309 48898618 73347927 97797236 122246545 146695854 171145163 244493090 293391708 342290326 366739635 488986180 513435489 684580652 733479270 855725815 1026870978 1466958540 1711451630 2053741956 2567177445 3422903260 5134354890 10268709780