Search a number
-
+
11581396896 = 2531014612591
BaseRepresentation
bin10101100100100111…
…00001011110100000
31002220010102220211210
422302103201132200
5142204314200041
65153113310120
7556666151346
oct126223413640
932803386753
1011581396896
114a0343a9a3
1222b2705340
13112750b894
147bc1b3996
1547bb35016
hex2b24e17a0

11581396896 has 96 divisors (see below), whose sum is σ = 30780642816. Its totient is φ = 3812480000.

The previous prime is 11581396891. The next prime is 11581396901. The reversal of 11581396896 is 69869318511.

It is an interprime number because it is at equal distance from previous prime (11581396891) and next prime (11581396901).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11581396891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4468561 + ... + 4471151.

It is an arithmetic number, because the mean of its divisors is an integer number (320631696).

Almost surely, 211581396896 is an apocalyptic number.

11581396896 is a gapful number since it is divisible by the number (16) 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 11581396896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390321408).

11581396896 is an abundant number, since it is smaller than the sum of its proper divisors (19199245920).

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

11581396896 is a wasteful number, since it uses less digits than its factorization.

11581396896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3158 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 57.

The spelling of 11581396896 in words is "eleven billion, five hundred eighty-one million, three hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 461 606 808 922 1212 1383 1616 1844 2424 2591 2766 3232 3688 4848 5182 5532 7376 7773 9696 10364 11064 14752 15546 20728 22128 31092 41456 44256 46561 62184 82912 93122 124368 139683 186244 248736 261691 279366 372488 523382 558732 744976 785073 1046764 1117464 1194451 1489952 1570146 2093528 2234928 2388902 3140292 3583353 4187056 4469856 4777804 6280584 7166706 8374112 9555608 12561168 14333412 19111216 25122336 28666824 38222432 57333648 114667296 120639551 241279102 361918653 482558204 723837306 965116408 1447674612 1930232816 2895349224 3860465632 5790698448 11581396896