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22434495559056 = 24357333075087
BaseRepresentation
bin1010001100111011100000…
…01000110111010110010000
32221102201100120100200200000
411012131300020313112100
510420031321330342211
6115414133122530000
74503560466603000
oct506356010672620
987381316320600
1022434495559056
11716a463971309
122623b57206900
13c69743a2b839
14577b9a3ca000
1528d88cd98656
hex146770237590

22434495559056 has 480 divisors, whose sum is σ = 75968871014400. Its totient is φ = 6406657939584.

The previous prime is 22434495558991. The next prime is 22434495559093. The reversal of 22434495559056 is 65095559443422.

22434495559056 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 4 + 495 + 5 + 5 + 90 + 56 = 666.

It is a super-2 number, since 2×224344955590562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 22434495558984 and 22434495559002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4410159745 + ... + 4410164831.

It is an arithmetic number, because the mean of its divisors is an integer number (158268481280).

Almost surely, 222434495559056 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 22434495559056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37984435507200).

22434495559056 is an abundant number, since it is smaller than the sum of its proper divisors (53534375455344).

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

22434495559056 is an equidigital number, since it uses as much as digits as its factorization.

22434495559056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 8406 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 63.

The spelling of 22434495559056 in words is "twenty-two trillion, four hundred thirty-four billion, four hundred ninety-five million, five hundred fifty-nine thousand, fifty-six".