Search a number
-
+
9158002128 = 2433112199221
BaseRepresentation
bin10001000011101110…
…00000010111010000
3212122020101201012000
420201313000113100
5122223422032003
64112423434000
7442641506442
oct104167002720
925566351160
109158002128
11397a4a9600
121936bb5900
13b2c421592
1462c3c4492
15388edc1a3
hex221dc05d0

9158002128 has 240 divisors, whose sum is σ = 30417844800. Its totient is φ = 2628806400.

The previous prime is 9158002111. The next prime is 9158002141. The reversal of 9158002128 is 8212008519.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9158002092 and 9158002101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988558 + ... + 997778.

It is an arithmetic number, because the mean of its divisors is an integer number (126741020).

Almost surely, 29158002128 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 9158002128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208922400).

9158002128 is an abundant number, since it is smaller than the sum of its proper divisors (21259842672).

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

9158002128 is a wasteful number, since it uses less digits than its factorization.

9158002128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9279 (or 9256 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 9158002128 is about 95697.4510005361. The cubic root of 9158002128 is about 2092.1857834220.

The spelling of 9158002128 in words is "nine billion, one hundred fifty-eight million, two thousand, one hundred twenty-eight".