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9869875470 = 232572132171941
BaseRepresentation
bin10010011000100101…
…00101100100001110
3221110211220121211100
421030102211210032
5130203142003340
64311213403530
7466404362100
oct111422454416
927424817740
109869875470
114205318584
121ab54995a6
13c13a5a100
14698b6d570
153cb757830
hex24c4a590e

9869875470 has 864 divisors, whose sum is σ = 36905712480. Its totient is φ = 1811496960.

The previous prime is 9869875469. The next prime is 9869875523. The reversal of 9869875470 is 745789689.

9869875470 is a `hidden beast` number, since 9 + 8 + 6 + 9 + 87 + 547 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9869875398 and 9869875407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 240728650 + ... + 240728690.

It is an arithmetic number, because the mean of its divisors is an integer number (42714945).

Almost surely, 29869875470 is an apocalyptic number.

9869875470 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9869875470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18452856240).

9869875470 is an abundant number, since it is smaller than the sum of its proper divisors (27035837010).

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

9869875470 is a wasteful number, since it uses less digits than its factorization.

9869875470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The square root of 9869875470 is about 99347.2469170636. The cubic root of 9869875470 is about 2145.0490346917.

The spelling of 9869875470 in words is "nine billion, eight hundred sixty-nine million, eight hundred seventy-five thousand, four hundred seventy".