Search a number
-
+
122848197696 = 2634711329959
BaseRepresentation
bin111001001101001010…
…0101011110001000000
3102202002111120001020000
41302122110223301000
54003043114311241
6132234035120000
711606202310530
oct1623224536100
9382074501200
10122848197696
1148110672214
121b985743000
13b77a2bb553
145d357154c0
1532e0060eb6
hex1c9a52bc40

122848197696 has 280 divisors, whose sum is σ = 419880531840. Its totient is φ = 34787708928.

The previous prime is 122848197677. The next prime is 122848197739. The reversal of 122848197696 is 696791848221.

122848197696 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 481 + 97 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4085565 + ... + 4115523.

It is an arithmetic number, because the mean of its divisors is an integer number (1499573328).

Almost surely, 2122848197696 is an apocalyptic number.

122848197696 is a gapful number since it is divisible by the number (16) 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 122848197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209940265920).

122848197696 is an abundant number, since it is smaller than the sum of its proper divisors (297032334144).

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

122848197696 is a wasteful number, since it uses less digits than its factorization.

122848197696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30103 (or 30084 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 122848197696 in words is "one hundred twenty-two billion, eight hundred forty-eight million, one hundred ninety-seven thousand, six hundred ninety-six".