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22042796608 = 26728978977
BaseRepresentation
bin10100100001110110…
…100110001001000000
32002220012102002101101
4110201312212021000
5330120423442413
614043141344144
71410145452100
oct244166461100
962805362341
1022042796608
119391647388
124332108054
132103987721
1410d1721200
15890283edd
hex521da6240

22042796608 has 84 divisors (see below), whose sum is σ = 51454956780. Its totient is φ = 9340649472.

The previous prime is 22042796569. The next prime is 22042796621. The reversal of 22042796608 is 80669724022.

It can be written as a sum of positive squares in 2 ways, for example, as 15567053824 + 6475742784 = 124768^2 + 80472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239616 + ... + 318592.

Almost surely, 222042796608 is an apocalyptic number.

22042796608 is a gapful number since it is divisible by the number (28) 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 22042796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727478390).

22042796608 is an abundant number, since it is smaller than the sum of its proper divisors (29412160172).

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

22042796608 is an equidigital number, since it uses as much as digits as its factorization.

22042796608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79092 (or 79075 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 22042796608 in words is "twenty-two billion, forty-two million, seven hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 178 196 224 356 392 448 623 712 784 1246 1424 1568 2492 2848 3136 4361 4984 5696 8722 9968 17444 19936 34888 39872 69776 78977 139552 157954 279104 315908 552839 631816 1105678 1263632 2211356 2527264 3869873 4422712 5054528 7028953 7739746 8845424 14057906 15479492 17690848 28115812 30958984 35381696 49202671 56231624 61917968 98405342 112463248 123835936 196810684 224926496 247671872 344418697 393621368 449852992 688837394 787242736 1377674788 1574485472 2755349576 3148970944 5510699152 11021398304 22042796608