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22926681024 = 2631315116079
BaseRepresentation
bin10101010110100010…
…010110001111000000
32012011210121001212020
4111112202112033000
5333423212243044
614310554201440
71441100400432
oct252642261700
965153531766
1022926681024
1197a5571875
12453a123280
132214b2aa60
141176c84652
158e2b7aa19
hex5568963c0

22926681024 has 112 divisors (see below), whose sum is σ = 65380331520. Its totient is φ = 7048535040.

The previous prime is 22926680993. The next prime is 22926681031. The reversal of 22926681024 is 42018662922.

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, 3768417 + ... + 3774495.

It is an arithmetic number, because the mean of its divisors is an integer number (583752960).

Almost surely, 222926681024 is an apocalyptic number.

22926681024 is a gapful number since it is divisible by the number (24) 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 22926681024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32690165760).

22926681024 is an abundant number, since it is smaller than the sum of its proper divisors (42453650496).

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

22926681024 is a wasteful number, since it uses less digits than its factorization.

22926681024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 22926681024 in words is "twenty-two billion, nine hundred twenty-six million, six hundred eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1511 2496 3022 4533 6044 6079 9066 12088 12158 18132 18237 19643 24176 24316 36264 36474 39286 48352 48632 58929 72528 72948 78572 79027 96704 97264 117858 145056 145896 157144 158054 194528 235716 237081 290112 291792 314288 316108 389056 471432 474162 583584 628576 632216 942864 948324 1167168 1257152 1264432 1885728 1896648 2528864 3771456 3793296 5057728 7586592 9185369 15173184 18370738 27556107 36741476 55112214 73482952 110224428 119409797 146965904 220448856 238819594 293931808 358229391 440897712 477639188 587863616 716458782 881795424 955278376 1432917564 1763590848 1910556752 2865835128 3821113504 5731670256 7642227008 11463340512 22926681024