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10422366656 = 261331491823
BaseRepresentation
bin10011011010011100…
…01011000111000000
3222220100112002020212
421231032023013000
5132321111213111
64442111253252
7516163440422
oct115516130700
928810462225
1010422366656
114469177369
12202a51a228
13ca1360480
1470c2aa812
1540eedd98b
hex26d38b1c0

10422366656 has 112 divisors (see below), whose sum is σ = 23066093568. Its totient is φ = 4640025600.

The previous prime is 10422366601. The next prime is 10422366659. The reversal of 10422366656 is 65666322401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422366659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12663461 + ... + 12664283.

It is an arithmetic number, because the mean of its divisors is an integer number (205947264).

Almost surely, 210422366656 is an apocalyptic number.

10422366656 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 10422366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11533046784).

10422366656 is an abundant number, since it is smaller than the sum of its proper divisors (12643726912).

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

10422366656 is a wasteful number, since it uses less digits than its factorization.

10422366656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 10422366656 in words is "ten billion, four hundred twenty-two million, three hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 491 496 806 823 832 982 992 1612 1646 1964 1984 3224 3292 3928 6383 6448 6584 7856 10699 12766 12896 13168 15221 15712 21398 25513 25532 25792 26336 30442 31424 42796 51026 51064 52672 60884 85592 102052 102128 121768 171184 197873 204104 204256 243536 331669 342368 395746 404093 408208 408512 487072 663338 684736 791492 808186 816416 974144 1326676 1582984 1616372 1632832 2653352 3165968 3232744 5253209 5306704 6331936 6465488 10506418 10613408 12526883 12663872 12930976 21012836 21226816 25053766 25861952 42025672 50107532 84051344 100215064 162849479 168102688 200430128 325698958 336205376 400860256 651397916 801720512 1302795832 2605591664 5211183328 10422366656