Search a number
-
+
8828061696 = 21131073
BaseRepresentation
bin10000011100011000…
…11000100000000000
3211210020120000000000
420032030120200000
5121034440433241
64020000000000
7431524200126
oct101614304000
924706500000
108828061696
113820235463
121864600000
13aa8c6c95c
145da659916
1536a066eb6
hex20e318800

8828061696 has 264 divisors, whose sum is σ = 26840276190. Its totient is φ = 2902376448.

The previous prime is 8828061691. The next prime is 8828061701. The reversal of 8828061696 is 6961608288.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8828061691) and next prime (8828061701).

It can be written as a sum of positive squares in only one way, i.e., 7316407296 + 1511654400 = 85536^2 + 38880^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8828061691) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 120932316 + ... + 120932388.

Almost surely, 28828061696 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 8828061696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13420138095).

8828061696 is an abundant number, since it is smaller than the sum of its proper divisors (18012214494).

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

8828061696 is an frugal number, since it uses more digits than its factorization.

8828061696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8828061696 is about 93957.7654906714. The cubic root of 8828061696 is about 2066.7524123055.

The spelling of 8828061696 in words is "eight billion, eight hundred twenty-eight million, sixty-one thousand, six hundred ninety-six".