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9830924352 = 2632313131759
BaseRepresentation
bin10010010011111100…
…00000000001000000
3221101010121200221100
421021332000001000
5130113204034402
64303302454400
7465422323014
oct111176000100
927333550840
109830924352
114195333a77
121aa4434400
13c0896cb02
14693910544
153c811171c
hex249f80040

9830924352 has 168 divisors, whose sum is σ = 29197076480. Its totient is φ = 3159336960.

The previous prime is 9830924351. The next prime is 9830924357. The reversal of 9830924352 is 2534290389.

It is a happy number.

It is a super-2 number, since 2×98309243522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9830924298 and 9830924307.

It is not an unprimeable number, because it can be changed into a prime (9830924351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5588049 + ... + 5589807.

Almost surely, 29830924352 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 9830924352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598538240).

9830924352 is an abundant number, since it is smaller than the sum of its proper divisors (19366152128).

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

9830924352 is a wasteful number, since it uses less digits than its factorization.

9830924352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9830924352 is about 99151.0179070291. The cubic root of 9830924352 is about 2142.2235275313.

The spelling of 9830924352 in words is "nine billion, eight hundred thirty million, nine hundred twenty-four thousand, three hundred fifty-two".