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22880896426404 = 22326727321632
BaseRepresentation
bin1010011001111010111111…
…01101000010000110100100
310000000101121000100100110100
411030331133231002012210
510444340033441121104
6120355201054424100
74551042641426442
oct514753755020644
9100011530310410
1022880896426404
117321808590065
122696579b02030
13c9c8755714b3
14591626cb7b92
1529a2b8197139
hex14cf5fb421a4

22880896426404 has 243 divisors, whose sum is σ = 59896726366113. Its totient is φ = 7364749163904.

The previous prime is 22880896426343. The next prime is 22880896426481. The reversal of 22880896426404 is 40462469808822.

The square root of 22880896426404 is 4783398.

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

22880896426404 is a `hidden beast` number, since 2 + 2 + 8 + 80 + 8 + 96 + 426 + 40 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12988311444900 + 9892584981504 = 3603930^2 + 3145248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 140373597627 + ... + 140373597789.

Almost surely, 222880896426404 is an apocalyptic number.

22880896426404 is the 4783398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22880896426404

22880896426404 is an abundant number, since it is smaller than the sum of its proper divisors (37015829939709).

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

22880896426404 is an equidigital number, since it uses as much as digits as its factorization.

22880896426404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 22880896426404 in words is "twenty-two trillion, eight hundred eighty billion, eight hundred ninety-six million, four hundred twenty-six thousand, four hundred four".