Search a number
-
+
12355338240 = 2153457219
BaseRepresentation
bin10111000000110111…
…11000000000000000
31011220001202012210000
423200123320000000
5200300431310430
65402001440000
7615114433200
oct134033700000
934801665700
1012355338240
1152702a2543
122489940000
13121b96973b
14852cb8400
154c4a60e60
hex2e06f8000

12355338240 has 960 divisors, whose sum is σ = 54239387400. Its totient is φ = 2675441664.

The previous prime is 12355338199. The next prime is 12355338271. The reversal of 12355338240 is 4283355321.

12355338240 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 533 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12355338195 and 12355338204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 650280951 + ... + 650280969.

Almost surely, 212355338240 is an apocalyptic number.

12355338240 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 12355338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27119693700).

12355338240 is an abundant number, since it is smaller than the sum of its proper divisors (41884049160).

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

12355338240 is an frugal number, since it uses more digits than its factorization.

12355338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 12355338240 in words is "twelve billion, three hundred fifty-five million, three hundred thirty-eight thousand, two hundred forty".