Search a number
-
+
13455359280 = 24335114712049
BaseRepresentation
bin11001000100000000…
…00111110100110000
31021201201122001222000
430202000013310300
5210024032444110
610103055014000
7654302444466
oct144200076460
937651561860
1013455359280
115785221640
12273620a300
131365826b6c
14919020836
1553b3ed1c0
hex322007d30

13455359280 has 320 divisors, whose sum is σ = 51639552000. Its totient is φ = 3192238080.

The previous prime is 13455359273. The next prime is 13455359293. The reversal of 13455359280 is 8295355431.

13455359280 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 53 + 592 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1110696 + ... + 1122744.

It is an arithmetic number, because the mean of its divisors is an integer number (161373600).

Almost surely, 213455359280 is an apocalyptic number.

13455359280 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 13455359280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25819776000).

13455359280 is an abundant number, since it is smaller than the sum of its proper divisors (38184192720).

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

13455359280 is a wasteful number, since it uses less digits than its factorization.

13455359280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12129 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 13455359280 in words is "thirteen billion, four hundred fifty-five million, three hundred fifty-nine thousand, two hundred eighty".