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13455154304 = 271918712957
BaseRepresentation
bin11001000011111110…
…10101110010000000
31021201201020122210022
430201333111302000
5210024004414204
610103050353012
7654300632054
oct144177256200
937651218708
1013455154304
1157850a1639
12273612b768
131365784787
14918da9c64
1553b3ac5be
hex321fd5c80

13455154304 has 64 divisors (see below), whose sum is σ = 28240617600. Its totient is φ = 6367933440.

The previous prime is 13455154283. The next prime is 13455154327. The reversal of 13455154304 is 40345155431.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4548794 + ... + 4551750.

It is an arithmetic number, because the mean of its divisors is an integer number (441259650).

Almost surely, 213455154304 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 13455154304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120308800).

13455154304 is an abundant number, since it is smaller than the sum of its proper divisors (14785463296).

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

13455154304 is a wasteful number, since it uses less digits than its factorization.

13455154304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 13455154304 in words is "thirteen billion, four hundred fifty-five million, one hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 1871 2432 2957 3742 5914 7484 11828 14968 23656 29936 35549 47312 56183 59872 71098 94624 112366 119744 142196 189248 224732 239488 284392 378496 449464 568784 898928 1137568 1797856 2275136 3595712 4550272 5532547 7191424 11065094 22130188 44260376 88520752 105118393 177041504 210236786 354083008 420473572 708166016 840947144 1681894288 3363788576 6727577152 13455154304