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13464053460 = 2232511131015179
BaseRepresentation
bin11001000101000010…
…10010011011010100
31021202022222210010200
430202201102123110
5210033244202320
610104005220500
7654436365114
oct144241223324
937668883120
1013464053460
11578a11a710
122739101730
13136757c250
1491a245044
1553c069290
hex3228526d4

13464053460 has 288 divisors, whose sum is σ = 48465406080. Its totient is φ = 2982528000.

The previous prime is 13464053443. The next prime is 13464053501. The reversal of 13464053460 is 6435046431.

13464053460 is a `hidden beast` number, since 1 + 3 + 4 + 64 + 0 + 534 + 60 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2597151 + ... + 2602329.

It is an arithmetic number, because the mean of its divisors is an integer number (168282660).

Almost surely, 213464053460 is an apocalyptic number.

13464053460 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 13464053460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24232703040).

13464053460 is an abundant number, since it is smaller than the sum of its proper divisors (35001352620).

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

13464053460 is a wasteful number, since it uses less digits than its factorization.

13464053460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13464053460 its reverse (6435046431), we get a palindrome (19899099891).

The spelling of 13464053460 in words is "thirteen billion, four hundred sixty-four million, fifty-three thousand, four hundred sixty".