Search a number
-
+
2307898642896 = 2432731129146477
BaseRepresentation
bin100001100101011001011…
…110101001000111010000
322011122002102110111210200
4201211121132221013100
5300303034023033041
64524122313255200
7325511610534000
oct41453136510720
98148072414720
102307898642896
1180a857687430
12313352704500
13139831908972
147d9baa34000
1540078d151b6
hex219597a91d0

2307898642896 has 480 divisors, whose sum is σ = 8500411296000. Its totient is φ = 578779407360.

The previous prime is 2307898642891. The next prime is 2307898642897. The reversal of 2307898642896 is 6982468987032.

2307898642896 is a `hidden beast` number, since 2 + 30 + 7 + 8 + 9 + 86 + 428 + 96 = 666.

It is a super-2 number, since 2×23078986428962 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2307898642891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15682810 + ... + 15829286.

It is an arithmetic number, because the mean of its divisors is an integer number (17709190200).

Almost surely, 22307898642896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2307898642896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250205648000).

2307898642896 is an abundant number, since it is smaller than the sum of its proper divisors (6192512653104).

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

2307898642896 is a wasteful number, since it uses less digits than its factorization.

2307898642896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146552 (or 146529 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 2307898642896 in words is "two trillion, three hundred seven billion, eight hundred ninety-eight million, six hundred forty-two thousand, eight hundred ninety-six".