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10422265696 = 25432353499
BaseRepresentation
bin10011011010011011…
…10010011101100000
3222220100022221202121
421231031302131200
5132321100000241
64442105154024
7516162540163
oct115515623540
928810287677
1010422265696
114469108527
12202a48b914
13ca132652b
1470c281ada
1540eebdad1
hex26d372760

10422265696 has 72 divisors (see below), whose sum is σ = 21108843000. Its totient is φ = 5065353216.

The previous prime is 10422265687. The next prime is 10422265727. The reversal of 10422265696 is 69656222401.

10422265696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20886055 + ... + 20886553.

It is an arithmetic number, because the mean of its divisors is an integer number (293178375).

Almost surely, 210422265696 is an apocalyptic number.

10422265696 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 10422265696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10554421500).

10422265696 is an abundant number, since it is smaller than the sum of its proper divisors (10686577304).

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

10422265696 is an equidigital number, since it uses as much as digits as its factorization.

10422265696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 10422265696 in words is "ten billion, four hundred twenty-two million, two hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 86 172 344 353 499 688 706 998 1376 1412 1849 1996 2824 3698 3992 5648 7396 7984 11296 14792 15179 15968 21457 29584 30358 42914 59168 60716 85828 121432 171656 176147 242864 343312 352294 485728 652697 686624 704588 922651 1305394 1409176 1845302 2610788 2818352 3690604 5221576 5636704 7381208 7574321 10443152 14762416 15148642 20886304 29524832 30297284 60594568 121189136 242378272 325695803 651391606 1302783212 2605566424 5211132848 10422265696