Search a number
-
+
2580078512 = 241125757041
BaseRepresentation
bin1001100111001000…
…1101111110110000
320122210212120100102
42121302031332300
520241000003022
61104004011532
7120636206534
oct23162157660
96583776312
102580078512
1111044291a0
12600090ba8
133216b949b
141a6937bc4
15101797a92
hex99c8dfb0

2580078512 has 40 divisors (see below), whose sum is σ = 5474662992. Its totient is φ = 1168179200.

The previous prime is 2580078451. The next prime is 2580078517. The reversal of 2580078512 is 2158700852.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2580078517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16712 + ... + 73752.

Almost surely, 22580078512 is an apocalyptic number.

2580078512 is a gapful number since it is divisible by the number (22) 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 2580078512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737331496).

2580078512 is an abundant number, since it is smaller than the sum of its proper divisors (2894584480).

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

2580078512 is a wasteful number, since it uses less digits than its factorization.

2580078512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57317 (or 57311 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 2580078512 is about 50794.4732426669. The cubic root of 2580078512 is about 1371.5478823200.

The spelling of 2580078512 in words is "two billion, five hundred eighty million, seventy-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 257 514 1028 2056 2827 4112 5654 11308 22616 45232 57041 114082 228164 456328 627451 912656 1254902 2509804 5019608 10039216 14659537 29319074 58638148 117276296 161254907 234552592 322509814 645019628 1290039256 2580078512