Search a number
-
+
13053909426480 = 24325139724159659
BaseRepresentation
bin1011110111110101100110…
…1000100110000100110000
31201012221102101121010211200
42331331121220212010300
53202333401303121410
643432514434411200
72515054021226106
oct275753150460460
951187371533750
1013053909426480
11418314a61381a
121569b27a30b00
13738c94656840
14331b53a4dc76
151798673603c0
hexbdf59a26130

13053909426480 has 480 divisors, whose sum is σ = 47897078349120. Its totient is φ = 3166894817280.

The previous prime is 13053909426473. The next prime is 13053909426553. The reversal of 13053909426480 is 8462490935031.

13053909426480 is a `hidden beast` number, since 1 + 3 + 0 + 53 + 9 + 0 + 94 + 26 + 480 = 666.

13053909426480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×130539094264803 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218778891 + ... + 218838549.

It is an arithmetic number, because the mean of its divisors is an integer number (99785579894).

Almost surely, 213053909426480 is an apocalyptic number.

13053909426480 is a gapful number since it is divisible by the number (10) 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 13053909426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23948539174560).

13053909426480 is an abundant number, since it is smaller than the sum of its proper divisors (34843168922640).

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

13053909426480 is a wasteful number, since it uses less digits than its factorization.

13053909426480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60029 (or 60020 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13053909426480 in words is "thirteen trillion, fifty-three billion, nine hundred nine million, four hundred twenty-six thousand, four hundred eighty".