Search a number
-
+
13308083712 = 293271137507
BaseRepresentation
bin11000110010011100…
…10011111000000000
31021100110111200212100
430121032103320000
5204223332134322
610040314230400
7650533562610
oct143116237000
937313450770
1013308083712
11570a0802a0
1226b4a25400
131341170061
14903644a40
1552d50adac
hex319393e00

13308083712 has 240 divisors, whose sum is σ = 47886613632. Its totient is φ = 3456552960.

The previous prime is 13308083671. The next prime is 13308083771. The reversal of 13308083712 is 21738080331.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 336063 + ... + 373569.

Almost surely, 213308083712 is an apocalyptic number.

13308083712 is a gapful number since it is divisible by the number (12) 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 13308083712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23943306816).

13308083712 is an abundant number, since it is smaller than the sum of its proper divisors (34578529920).

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

13308083712 is a wasteful number, since it uses less digits than its factorization.

13308083712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37549 (or 37530 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13308083712 in words is "thirteen billion, three hundred eight million, eighty-three thousand, seven hundred twelve".