Search a number
-
+
79143505920 = 2123851931
BaseRepresentation
bin100100110110101010…
…0100001000000000000
321120021122110200000000
41021231110201000000
52244041214142140
6100205200000000
75501151462213
oct1115524410000
9246248420000
1079143505920
113062349a436
1213409000000
13760386199b
143b8b10577a
1520d31d7a30
hex126d521000

79143505920 has 936 divisors, whose sum is σ = 309533303040. Its totient is φ = 19349176320.

The previous prime is 79143505891. The next prime is 79143505937. The reversal of 79143505920 is 2950534197.

It is a happy number.

79143505920 is a `hidden beast` number, since 7 + 9 + 1 + 4 + 3 + 50 + 592 + 0 = 666.

It is a super-3 number, since 3×791435059203 (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2553016305 + ... + 2553016335.

Almost surely, 279143505920 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 79143505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154766651520).

79143505920 is an abundant number, since it is smaller than the sum of its proper divisors (230389797120).

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

79143505920 is an frugal number, since it uses more digits than its factorization.

79143505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 79143505920 in words is "seventy-nine billion, one hundred forty-three million, five hundred five thousand, nine hundred twenty".