Search a number
-
+
20723222528 = 21131812
BaseRepresentation
bin10011010011001100…
…110100100000000000
31222111020101210001022
4103103030310200000
5314420121110103
613304202325012
71332353325251
oct232314644000
958436353038
1020723222528
11887479a898
1240241b9768
131c53488168
141008386b28
158144c9138
hex4d3334800

20723222528 has 36 divisors (see below), whose sum is σ = 41449356585. Its totient is φ = 10358353920.

The previous prime is 20723222503. The next prime is 20723222561. The reversal of 20723222528 is 82522232702.

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 2 ways, for example, as 15807529984 + 4915692544 = 125728^2 + 70112^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=101792.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6513098 + ... + 6516278.

Almost surely, 220723222528 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 20723222528

20723222528 is an abundant number, since it is smaller than the sum of its proper divisors (20726134057).

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

20723222528 is an frugal number, since it uses more digits than its factorization.

20723222528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 20723222528 in words is "twenty billion, seven hundred twenty-three million, two hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3181 6362 12724 25448 50896 101792 203584 407168 814336 1628672 3257344 6514688 10118761 20237522 40475044 80950088 161900176 323800352 647600704 1295201408 2590402816 5180805632 10361611264 20723222528