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79112132352 = 2834111272731
BaseRepresentation
bin100100110101101110…
…0110101011100000000
321120012110102201120000
41021223130311130000
52244010201213402
6100202115320000
75500321013121
oct1115334653400
9246173381500
1079112132352
1130607810a70
12133ba5b0000
1375ca1c8746
143b86c9a048
1520d058bc1c
hex126b735700

79112132352 has 360 divisors, whose sum is σ = 259464640512. Its totient is φ = 23775897600.

The previous prime is 79112132293. The next prime is 79112132369. The reversal of 79112132352 is 25323121197.

It is a happy number.

79112132352 is a `hidden beast` number, since 7 + 91 + 1 + 213 + 2 + 352 = 666.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 28966827 + ... + 28969557.

Almost surely, 279112132352 is an apocalyptic number.

79112132352 is a gapful number since it is divisible by the number (72) 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 79112132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129732320256).

79112132352 is an abundant number, since it is smaller than the sum of its proper divisors (180352508160).

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

79112132352 is a wasteful number, since it uses less digits than its factorization.

79112132352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2874 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The spelling of 79112132352 in words is "seventy-nine billion, one hundred twelve million, one hundred thirty-two thousand, three hundred fifty-two".