Search a number
-
+
13024515504 = 243711213191297
BaseRepresentation
bin11000010000101001…
…00101010110110000
31020121200220221102010
430020110211112300
5203133233444004
65552224322520
7640521361260
oct141024452660
936550827363
1013024515504
115583aaa300
122635a73440
1312c74a6510
148b7b0b7a0
15513695a89
hex3085255b0

13024515504 has 480 divisors, whose sum is σ = 47950819840. Its totient is φ = 2956124160.

The previous prime is 13024515479. The next prime is 13024515557. The reversal of 13024515504 is 40551542031.

It is a super-2 number, since 2×130245155042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10041384 + ... + 10042680.

Almost surely, 213024515504 is an apocalyptic number.

13024515504 is a gapful number since it is divisible by the number (14) 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 13024515504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975409920).

13024515504 is an abundant number, since it is smaller than the sum of its proper divisors (34926304336).

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

13024515504 is a wasteful number, since it uses less digits than its factorization.

13024515504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 13024515504 in words is "thirteen billion, twenty-four million, five hundred fifteen thousand, five hundred four".