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10269122496 = 263314736709
BaseRepresentation
bin10011001000001011…
…00101111111000000
3222111200011110210020
421210011211333000
5132012343404441
64414554533440
7512323046433
oct114405457700
928450143706
1010269122496
11439a7197a6
121ba7137280
13c78696a59
146d5bb981a
1540181ce66
hex264165fc0

10269122496 has 112 divisors (see below), whose sum is σ = 28644372480. Its totient is φ = 3242050560.

The previous prime is 10269122467. The next prime is 10269122597. The reversal of 10269122496 is 69422196201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261390 + ... + 298098.

Almost surely, 210269122496 is an apocalyptic number.

10269122496 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 10269122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322186240).

10269122496 is an abundant number, since it is smaller than the sum of its proper divisors (18375249984).

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

10269122496 is a wasteful number, since it uses less digits than its factorization.

10269122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36802 (or 36792 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 10269122496 in words is "ten billion, two hundred sixty-nine million, one hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 141 186 188 192 248 282 372 376 496 564 744 752 992 1128 1457 1488 1504 1984 2256 2914 2976 3008 4371 4512 5828 5952 8742 9024 11656 17484 23312 34968 36709 46624 69936 73418 93248 110127 139872 146836 220254 279744 293672 440508 587344 881016 1137979 1174688 1725323 1762032 2275958 2349376 3413937 3450646 3524064 4551916 5175969 6827874 6901292 7048128 9103832 10351938 13655748 13802584 18207664 20703876 27311496 27605168 36415328 41407752 53485013 54622992 55210336 72830656 82815504 106970026 109245984 110420672 160455039 165631008 213940052 218491968 320910078 331262016 427880104 641820156 855760208 1283640312 1711520416 2567280624 3423040832 5134561248 10269122496