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8963829056 = 2671331131379
BaseRepresentation
bin10000101100100100…
…10010110101000000
3212010201000200210202
420112102102311000
5121324220012211
64041245544332
7435063201260
oct102622226500
925121020722
108963829056
11388a936496
1218a1b750a8
13acb127580
146106bb7a0
15376e3453b
hex216492d40

8963829056 has 224 divisors, whose sum is σ = 22831226880. Its totient is φ = 3396556800.

The previous prime is 8963828999. The next prime is 8963829097. The reversal of 8963829056 is 6509283698.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×89638290562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 8963828992 and 8963829010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23651075 + ... + 23651453.

It is an arithmetic number, because the mean of its divisors is an integer number (101925120).

Almost surely, 28963829056 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 8963829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415613440).

8963829056 is an abundant number, since it is smaller than the sum of its proper divisors (13867397824).

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

8963829056 is a wasteful number, since it uses less digits than its factorization.

8963829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

The square root of 8963829056 is about 94677.5002627340. The cubic root of 8963829056 is about 2077.2934669179.

The spelling of 8963829056 in words is "eight billion, nine hundred sixty-three million, eight hundred twenty-nine thousand, fifty-six".