Search a number
-
+
2493796239360 = 21133573157787
BaseRepresentation
bin100100010010100001110…
…101101100100000000000
322211101220221120212111000
4210102201311230200000
5311324243314124420
65145344552052000
7345112411166616
oct44224165544000
98741827525430
102493796239360
11881681a67078
12343393394000
1315121934345a
14889b3bc36b6
1544d09179690
hex244a1d6c800

2493796239360 has 768 divisors, whose sum is σ = 9054827308800. Its totient is φ = 650896736256.

The previous prime is 2493796239317. The next prime is 2493796239367. The reversal of 2493796239360 is 639326973942.

2493796239360 is a `hidden beast` number, since 2 + 4 + 9 + 37 + 9 + 6 + 239 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (2493796239367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3168736887 + ... + 3168737673.

It is an arithmetic number, because the mean of its divisors is an integer number (11790139725).

Almost surely, 22493796239360 is an apocalyptic number.

2493796239360 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 2493796239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527413654400).

2493796239360 is an abundant number, since it is smaller than the sum of its proper divisors (6561031069440).

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

2493796239360 is a wasteful number, since it uses less digits than its factorization.

2493796239360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 63.

The spelling of 2493796239360 in words is "two trillion, four hundred ninety-three billion, seven hundred ninety-six million, two hundred thirty-nine thousand, three hundred sixty".