Search a number
-
+
12997363680 = 253457297211
BaseRepresentation
bin11000001101011010…
…00000011111100000
31020112210211111010000
430012231000133200
5203104311114210
65545414340000
7640041524400
oct140655003740
936483744100
1012997363680
11556a744784
12262895a600
1312c198aa52
148b4280800
155110d0ac0
hex306b407e0

12997363680 has 720 divisors, whose sum is σ = 54164403216. Its totient is φ = 2926264320.

The previous prime is 12997363657. The next prime is 12997363781. The reversal of 12997363680 is 8636379921.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61598775 + ... + 61598985.

Almost surely, 212997363680 is an apocalyptic number.

12997363680 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 12997363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27082201608).

12997363680 is an abundant number, since it is smaller than the sum of its proper divisors (41167039536).

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

12997363680 is a wasteful number, since it uses less digits than its factorization.

12997363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 12997363680 in words is "twelve billion, nine hundred ninety-seven million, three hundred sixty-three thousand, six hundred eighty".