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20417839272 = 2332283581101
BaseRepresentation
bin10011000000111111…
…111000000010101000
31221200221202200222100
4103000333320002220
5313303431324042
613214013053400
71321654525125
oct230077700250
957627680870
1020417839272
118728379936
123b59a87260
131c05123ccc
14db99b174c
157e77a524c
hex4c0ff80a8

20417839272 has 24 divisors (see below), whose sum is σ = 55298314890. Its totient is φ = 6805946400.

The previous prime is 20417839237. The next prime is 20417839327. The reversal of 20417839272 is 27293871402.

20417839272 is a `hidden beast` number, since 2 + 0 + 417 + 83 + 92 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12563271396 + 7854567876 = 112086^2 + 88626^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141790479 + ... + 141790622.

Almost surely, 220417839272 is an apocalyptic number.

It is an amenable number.

20417839272 is an abundant number, since it is smaller than the sum of its proper divisors (34880475618).

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

20417839272 is a wasteful number, since it uses less digits than its factorization.

20417839272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283581113 (or 283581106 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20417839272 in words is "twenty billion, four hundred seventeen million, eight hundred thirty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 283581101 567162202 850743303 1134324404 1701486606 2268648808 2552229909 3402973212 5104459818 6805946424 10208919636 20417839272