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9048099060 = 223357111319881
BaseRepresentation
bin10000110110100111…
…10000100011110100
3212100120121001112000
420123103300203310
5122012303132220
64053500055300
7440135400360
oct103323604364
925316531460
109048099060
113923463820
121906234530
13b12721390
1461b9762a0
1537e52d390
hex21b4f08f4

9048099060 has 768 divisors, whose sum is σ = 39829708800. Its totient is φ = 1642291200.

The previous prime is 9048099059. The next prime is 9048099077. The reversal of 9048099060 is 609908409.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9048098997 and 9048099015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10269820 + ... + 10270700.

It is an arithmetic number, because the mean of its divisors is an integer number (51861600).

Almost surely, 29048099060 is an apocalyptic number.

9048099060 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9048099060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19914854400).

9048099060 is an abundant number, since it is smaller than the sum of its proper divisors (30781609740).

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

9048099060 is a wasteful number, since it uses less digits than its factorization.

9048099060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9048099060 is about 95121.4963086683. The cubic root of 9048099060 is about 2083.7827997203.

The spelling of 9048099060 in words is "nine billion, forty-eight million, ninety-nine thousand, sixty".