Search a number
-
+
12398505799680 = 21232571121341149
BaseRepresentation
bin1011010001101100000010…
…0010001011000000000000
31121220021201012001020021200
42310123000202023000000
53111114114441042210
642211443412221200
72416522350302250
oct264330042130000
947807635036250
1012398505799680
113a501a4328400
121482ab660a800
136bc2355b9710
1430c13b54b960
151677a85680c0
hexb46c088b000

12398505799680 has 3744 divisors, whose sum is σ = 59957255030400. Its totient is φ = 2304560332800.

The previous prime is 12398505799661. The next prime is 12398505799711. The reversal of 12398505799680 is 8699750589321.

12398505799680 is a `hidden beast` number, since 1 + 2 + 39 + 8 + 505 + 7 + 9 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12398505799599 and 12398505799608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 83211448246 + ... + 83211448394.

It is an arithmetic number, because the mean of its divisors is an integer number (16014224100).

Almost surely, 212398505799680 is an apocalyptic number.

12398505799680 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 12398505799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29978627515200).

12398505799680 is an abundant number, since it is smaller than the sum of its proper divisors (47558749230720).

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

12398505799680 is a wasteful number, since it uses less digits than its factorization.

12398505799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 12398505799680 in words is "twelve trillion, three hundred ninety-eight billion, five hundred five million, seven hundred ninety-nine thousand, six hundred eighty".