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9063019680 = 25351113292157
BaseRepresentation
bin10000111000011001…
…01011010010100000
3212101121200002202120
420130030223102200
5122030113112210
64055151544240
7440406252621
oct103414532240
925347602676
109063019680
113930924910
12190b22b080
13b15846850
1461d93ba48
153809c9270
hex21c32b4a0

9063019680 has 576 divisors, whose sum is σ = 34957173888. Its totient is φ = 1945681920.

The previous prime is 9063019661. The next prime is 9063019697. The reversal of 9063019680 is 869103609.

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 95 ways as a sum of consecutive naturals, for example, 57726162 + ... + 57726318.

It is an arithmetic number, because the mean of its divisors is an integer number (60689538).

Almost surely, 29063019680 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 9063019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478586944).

9063019680 is an abundant number, since it is smaller than the sum of its proper divisors (25894154208).

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

9063019680 is a wasteful number, since it uses less digits than its factorization.

9063019680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 9063019680 is about 95199.8932772511. The cubic root of 9063019680 is about 2084.9275800229.

It can be divided in two parts, 906301 and 9680, that added together give a triangular number (915981 = T1353).

The spelling of 9063019680 in words is "nine billion, sixty-three million, nineteen thousand, six hundred eighty".