Search a number
-
+
79299133056 = 27331121329503
BaseRepresentation
bin100100111011010011…
…0001011111010000000
321120200111022100022000
41021312212023322000
52244401034224211
6100232435344000
75505051336513
oct1116646137200
9246614270260
1079299133056
11306a3325400
1213451152000
137629b80c50
143ba3a56d7a
1520e1bc9656
hex127698be80

79299133056 has 768 divisors, whose sum is σ = 287165088000. Its totient is φ = 21374115840.

The previous prime is 79299133013. The next prime is 79299133061. The reversal of 79299133056 is 65033199297.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 79299132993 and 79299133011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157652101 + ... + 157652603.

It is an arithmetic number, because the mean of its divisors is an integer number (373912875).

Almost surely, 279299133056 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 79299133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143582544000).

79299133056 is an abundant number, since it is smaller than the sum of its proper divisors (207865954944).

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

79299133056 is a wasteful number, since it uses less digits than its factorization.

79299133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 79299133056 in words is "seventy-nine billion, two hundred ninety-nine million, one hundred thirty-three thousand, fifty-six".