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9050082048 = 2835722969
BaseRepresentation
bin10000110110110110…
…10100101100000000
3212100201022210200000
420123123110230000
5122013310111143
64054010400000
7440161266600
oct103333245400
925321283600
109050082048
113924598657
121906a30000
13b12c66b47
1461bd30c00
1537e7c0bd3
hex21b6d4b00

9050082048 has 324 divisors, whose sum is σ = 31488617160. Its totient is φ = 2584866816.

The previous prime is 9050082047. The next prime is 9050082053. The reversal of 9050082048 is 8402800509.

9050082048 is a `hidden beast` number, since 90 + 500 + 8 + 20 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is not an unprimeable number, because it can be changed into a prime (9050082043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3046708 + ... + 3049676.

It is an arithmetic number, because the mean of its divisors is an integer number (97187090).

Almost surely, 29050082048 is an apocalyptic number.

9050082048 is a gapful number since it is divisible by the number (98) 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 9050082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744308580).

9050082048 is an abundant number, since it is smaller than the sum of its proper divisors (22438535112).

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

9050082048 is an equidigital number, since it uses as much as digits as its factorization.

9050082048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9050082048 is about 95131.9191859388. The cubic root of 9050082048 is about 2083.9350163878.

The spelling of 9050082048 in words is "nine billion, fifty million, eighty-two thousand, forty-eight".