Search a number
-
+
2486056792320 = 2832541431091123
BaseRepresentation
bin100100001011010100100…
…010000011000100000000
322210122221120110020001100
4210023110202003010000
5311212421014323240
65142025000534400
7344416543033233
oct44132442030400
98718846406040
102486056792320
1187937027aa52
12341993481400
13150584a991aa
148847bd8141a
1544a04999e30
hex242d4883100

2486056792320 has 864 divisors, whose sum is σ = 9107023685760. Its totient is φ = 625384488960.

The previous prime is 2486056792267. The next prime is 2486056792321. The reversal of 2486056792320 is 232976506842.

2486056792320 is a `hidden beast` number, since 2 + 4 + 8 + 605 + 6 + 7 + 9 + 2 + 3 + 20 = 666.

It is a super-2 number, since 2×24860567923202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2486056792321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2213763279 + ... + 2213764401.

Almost surely, 22486056792320 is an apocalyptic number.

2486056792320 is a gapful number since it is divisible by the number (20) 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 2486056792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553511842880).

2486056792320 is an abundant number, since it is smaller than the sum of its proper divisors (6620966893440).

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

2486056792320 is a wasteful number, since it uses less digits than its factorization.

2486056792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2486056792320 in words is "two trillion, four hundred eighty-six billion, fifty-six million, seven hundred ninety-two thousand, three hundred twenty".