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11826875472 = 2433114095641
BaseRepresentation
bin10110000001110111…
…11100110001010000
31010112020100112010220
423000323330301100
5143210140003342
65233322553040
7566036532336
oct130073746120
933466315126
1011826875472
115019a65655
122360968780
13116632a289
14802a33b56
154934745ec
hex2c0efcc50

11826875472 has 80 divisors (see below), whose sum is σ = 31566312960. Its totient is φ = 3811737600.

The previous prime is 11826875461. The next prime is 11826875479. The reversal of 11826875472 is 27457862811.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11826875479) 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, 2093772 + ... + 2099412.

It is an arithmetic number, because the mean of its divisors is an integer number (394578912).

Almost surely, 211826875472 is an apocalyptic number.

11826875472 is a gapful number since it is divisible by the number (12) 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 11826875472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783156480).

11826875472 is an abundant number, since it is smaller than the sum of its proper divisors (19739437488).

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

11826875472 is a wasteful number, since it uses less digits than its factorization.

11826875472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7086 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The spelling of 11826875472 in words is "eleven billion, eight hundred twenty-six million, eight hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1409 1488 2818 4227 5636 5641 8454 11272 11282 16908 16923 22544 22564 33816 33846 43679 45128 67632 67692 87358 90256 131037 135384 174716 174871 262074 270768 349432 349742 524148 524613 698864 699484 1048296 1049226 1398968 2096592 2098452 2797936 4196904 7948169 8393808 15896338 23844507 31792676 47689014 63585352 95378028 127170704 190756056 246393239 381512112 492786478 739179717 985572956 1478359434 1971145912 2956718868 3942291824 5913437736 11826875472