Search a number
-
+
10422413456 = 2471340117851
BaseRepresentation
bin10011011010011100…
…10110100010010000
3222220100121110110012
421231032112202100
5132321114212311
64442112254052
7516164024030
oct115516264220
928810543405
1010422413456
1144691a9544
12202a541328
13ca1378870
1470c2bd8c0
1540eeec78b
hex26d396890

10422413456 has 80 divisors (see below), whose sum is σ = 24916821888. Its totient is φ = 4112640000.

The previous prime is 10422413447. The next prime is 10422413459. The reversal of 10422413456 is 65431422401.

It is not an unprimeable number, because it can be changed into a prime (10422413459) 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, 574931 + ... + 592781.

Almost surely, 210422413456 is an apocalyptic number.

10422413456 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 10422413456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458410944).

10422413456 is an abundant number, since it is smaller than the sum of its proper divisors (14494408432).

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

10422413456 is a wasteful number, since it uses less digits than its factorization.

10422413456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18280 (or 18274 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 10422413456 its reverse (65431422401), we get a palindrome (75853835857).

The spelling of 10422413456 in words is "ten billion, four hundred twenty-two million, four hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 401 728 802 1456 1604 2807 3208 5213 5614 6416 10426 11228 17851 20852 22456 35702 36491 41704 44912 71404 72982 83408 124957 142808 145964 232063 249914 285616 291928 464126 499828 583856 928252 999656 1624441 1856504 1999312 3248882 3713008 6497764 7158251 12995528 14316502 25991056 28633004 50107757 57266008 93057263 100215514 114532016 186114526 200431028 372229052 400862056 651400841 744458104 801724112 1302801682 1488916208 2605603364 5211206728 10422413456