Search a number
-
+
5258373696 = 263237251983
BaseRepresentation
bin1001110010110110…
…00110101001000000
3111120110120001122100
410321123012221000
541232120424241
62225441110400
7244210303362
oct47133065100
914513501570
105258373696
11225923aa94
121029028400
1365a543834
1437c51ad32
1520b9919b6
hex1396c6a40

5258373696 has 168 divisors, whose sum is σ = 15557016384. Its totient is φ = 1696896000.

The previous prime is 5258373691. The next prime is 5258373707. The reversal of 5258373696 is 6963738525.

It is a happy number.

5258373696 is a `hidden beast` number, since 52 + 583 + 7 + 3 + 6 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258373691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5348821 + ... + 5349803.

It is an arithmetic number, because the mean of its divisors is an integer number (92601288).

Almost surely, 25258373696 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 5258373696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778508192).

5258373696 is an abundant number, since it is smaller than the sum of its proper divisors (10298642688).

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

5258373696 is a wasteful number, since it uses less digits than its factorization.

5258373696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1276 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 5258373696 is about 72514.6447002259. The cubic root of 5258373696 is about 1738.9368693920.

The spelling of 5258373696 in words is "five billion, two hundred fifty-eight million, three hundred seventy-three thousand, six hundred ninety-six".