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29665061244 = 22347133771383
BaseRepresentation
bin11011101000001011…
…001110100101111100
32211120102001020210000
4123220023032211330
5441223223424434
621343345114300
72100061601010
oct335013164574
984512036700
1029665061244
1111643176645
1258ba928990
132a49b833a0
141615b7c540
15b89517b99
hex6e82ce97c

29665061244 has 480 divisors, whose sum is σ = 99666395136. Its totient is φ = 7485488640.

The previous prime is 29665061191. The next prime is 29665061269. The reversal of 29665061244 is 44216056692.

29665061244 is a `hidden beast` number, since 2 + 96 + 6 + 506 + 12 + 44 = 666.

It is a super-2 number, since 2×296650612442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29665061244.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 77454277 + ... + 77454659.

Almost surely, 229665061244 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 29665061244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49833197568).

29665061244 is an abundant number, since it is smaller than the sum of its proper divisors (70001333892).

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

29665061244 is a wasteful number, since it uses less digits than its factorization.

29665061244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 29665061244 in words is "twenty-nine billion, six hundred sixty-five million, sixty-one thousand, two hundred forty-four".