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22938007524496 = 24281242612
BaseRepresentation
bin1010011011100101010111…
…10010100101010010010000
310000012212000011221201210121
411031302223302211102100
511001304014411240441
6120441324123440024
74555134131645551
oct515625362452220
9100185004851717
1022938007524496
117343a55289389
1226a5658386014
13ca507764526c
145942c3c04328
1529ba0be9ddd1
hex14dcabca5490

22938007524496 has 45 divisors (see below), whose sum is σ = 44611580132139. Its totient is φ = 11425506758400.

The previous prime is 22938007524493. The next prime is 22938007524527. The reversal of 22938007524496 is 69442570083922.

The square root of 22938007524496 is 4789364.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11366580702096 + 11571426822400 = 3371436^2 + 3401680^2 .

It is a super-2 number, since 2×229380075244962 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22938007524493) 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, 5383243006 + ... + 5383247266.

Almost surely, 222938007524496 is an apocalyptic number.

22938007524496 is the 4789364-th square number.

It is an amenable number.

22938007524496 is a deficient number, since it is larger than the sum of its proper divisors (21673572607643).

22938007524496 is an frugal number, since it uses more digits than its factorization.

22938007524496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 22938007524496 in words is "twenty-two trillion, nine hundred thirty-eight billion, seven million, five hundred twenty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 281 562 1124 2248 4261 4496 8522 17044 34088 68176 78961 157922 315844 631688 1197341 1263376 2394682 4789364 9578728 18156121 19157456 36312242 72624484 145248968 290497936 336452821 672905642 1345811284 2691622568 5101870001 5383245136 10203740002 20407480004 40814960008 81629920016 1433625470281 2867250940562 5734501881124 11469003762248 22938007524496