Search a number
-
+
13483246392 = 23347112331379
BaseRepresentation
bin11001000111010101…
…00000001100111000
31021210200002212220000
430203222200030320
5210103202341032
610105532433000
7655061463150
oct144352401470
937720085800
1013483246392
115799a39640
122743618760
13136b53c205
1491c9dd760
1553daaae7c
hex323aa0338

13483246392 has 640 divisors, whose sum is σ = 50850201600. Its totient is φ = 3233260800.

The previous prime is 13483246379. The next prime is 13483246411. The reversal of 13483246392 is 29364238431.

13483246392 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 3 + 2 + 4 + 639 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35575659 + ... + 35576037.

It is an arithmetic number, because the mean of its divisors is an integer number (79453440).

Almost surely, 213483246392 is an apocalyptic number.

13483246392 is a gapful number since it is divisible by the number (12) 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 13483246392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25425100800).

13483246392 is an abundant number, since it is smaller than the sum of its proper divisors (37366955208).

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

13483246392 is a wasteful number, since it uses less digits than its factorization.

13483246392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 456 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 13483246392 in words is "thirteen billion, four hundred eighty-three million, two hundred forty-six thousand, three hundred ninety-two".