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22543951248 = 24327134340009
BaseRepresentation
bin10100111111101110…
…010110010110010000
32011012010102101022100
4110333232112112100
5332132222414443
614205003040400
71425442265250
oct247756262620
964163371270
1022543951248
119619522275
124451b10100
132183755230
14113c0d7960
158be2793d3
hex53fb96590

22543951248 has 240 divisors, whose sum is σ = 79459219840. Its totient is φ = 5807241216.

The previous prime is 22543951219. The next prime is 22543951253. The reversal of 22543951248 is 84215934522.

22543951248 is a `hidden beast` number, since 2 + 2 + 543 + 95 + 12 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543468 + ... + 583476.

Almost surely, 222543951248 is an apocalyptic number.

22543951248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22543951248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39729609920).

22543951248 is an abundant number, since it is smaller than the sum of its proper divisors (56915268592).

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

22543951248 is a wasteful number, since it uses less digits than its factorization.

22543951248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40086 (or 40077 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 22543951248 in words is "twenty-two billion, five hundred forty-three million, nine hundred fifty-one thousand, two hundred forty-eight".