Search a number
-
+
13636066080 = 25357132631187
BaseRepresentation
bin11001011001100010…
…11101101100100000
31022012022122221002110
430230301131230200
5210411313103310
610133032115320
7661625435460
oct145461355440
938168587073
1013636066080
1158682272aa
122786835b40
1313940b7670
1493501dba0
1554c1e5d20
hex32cc5db20

13636066080 has 384 divisors, whose sum is σ = 53111697408. Its totient is φ = 2863706112.

The previous prime is 13636066079. The next prime is 13636066109. The reversal of 13636066080 is 8066063631.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 11487247 + ... + 11488433.

It is an arithmetic number, because the mean of its divisors is an integer number (138311712).

Almost surely, 213636066080 is an apocalyptic number.

13636066080 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 13636066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26555848704).

13636066080 is an abundant number, since it is smaller than the sum of its proper divisors (39475631328).

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

13636066080 is a wasteful number, since it uses less digits than its factorization.

13636066080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 13636066080 in words is "thirteen billion, six hundred thirty-six million, sixty-six thousand, eighty".