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32220506565128 = 23722866972
BaseRepresentation
bin1110101001101111010111…
…10110010010101000001000
311020002020202111112201220202
413110313223312102220020
513210400044140041003
6152305521341111332
76533566121644400
oct724675366225010
9136066674481822
1032220506565128
11a2a2704a72a22
123744672558548
1314c94c461079b
147d56a35c7800
153ad1e16aa088
hex1d4debd92a08

32220506565128 has 36 divisors (see below), whose sum is σ = 70277115313485. Its totient is φ = 13808740362816.

The previous prime is 32220506565097. The next prime is 32220506565161. The reversal of 32220506565128 is 82156560502223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 31909144797124 + 311361768004 = 5648818^2 + 557998^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4013758.

It is a super-2 number, since 2×322205065651282 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 112241876 + ... + 112528572.

Almost surely, 232220506565128 is an apocalyptic number.

It is an amenable number.

32220506565128 is an abundant number, since it is smaller than the sum of its proper divisors (38056608748357).

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

32220506565128 is an frugal number, since it uses more digits than its factorization.

32220506565128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573414 (or 286706 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 32220506565128 in words is "thirty-two trillion, two hundred twenty billion, five hundred six million, five hundred sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 286697 573394 1146788 2006879 2293576 4013758 8027516 14048153 16055032 28096306 56192612 112385224 82195169809 164390339618 328780679236 575366188663 657561358472 1150732377326 2301464754652 4027563320641 4602929509304 8055126641282 16110253282564 32220506565128