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22063442048 = 271926912
BaseRepresentation
bin10100100011000101…
…010110100010000000
32002221122020222121022
4110203011112202000
5330141220121143
614045200045012
71410516106634
oct244305264200
962848228538
1022063442048
1193a226862a
124339003768
13210803586b
1410d4376dc4
15891eb1268
hex523156880

22063442048 has 72 divisors (see below), whose sum is σ = 46456897815. Its totient is φ = 10435979520.

The previous prime is 22063442041. The next prime is 22063442057. The reversal of 22063442048 is 84024436022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11031721024 + 11031721024 = 105032^2 + 105032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105032.

It is a junction number, because it is equal to n+sod(n) for n = 22063441999 and 22063442017.

It is not an unprimeable number, because it can be changed into a prime (22063442041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31929383 + ... + 31930073.

Almost surely, 222063442048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22063442048

22063442048 is an abundant number, since it is smaller than the sum of its proper divisors (24393455767).

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

22063442048 is an frugal number, since it uses more digits than its factorization.

22063442048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 22063442048 in words is "twenty-two billion, sixty-three million, four hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 691 722 1216 1382 1444 2432 2764 2888 5528 5776 11056 11552 13129 22112 23104 26258 44224 46208 52516 88448 105032 210064 249451 420128 477481 498902 840256 954962 997804 1680512 1909924 1995608 3819848 3991216 7639696 7982432 9072139 15279392 15964864 18144278 30558784 31929728 36288556 61117568 72577112 145154224 172370641 290308448 344741282 580616896 689482564 1161233792 1378965128 2757930256 5515860512 11031721024 22063442048