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14827679768 = 231121031271171
BaseRepresentation
bin11011100111100110…
…00111000000011000
31102021100220011202202
431303303013000120
5220331341223033
610451200345332
71033305125036
oct156363070030
942240804682
1014827679768
116319925300
122a59915248
131523c33915
14a093a9556
155bbb268e8
hex373cc7018

14827679768 has 96 divisors (see below), whose sum is σ = 31125319680. Its totient is φ = 6616209600.

The previous prime is 14827679761. The next prime is 14827679821. The reversal of 14827679768 is 86797672841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14827679761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12661823 + ... + 12662993.

It is an arithmetic number, because the mean of its divisors is an integer number (324222080).

Almost surely, 214827679768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14827679768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562659840).

14827679768 is an abundant number, since it is smaller than the sum of its proper divisors (16297639912).

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

14827679768 is a wasteful number, since it uses less digits than its factorization.

14827679768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1414 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 65.

The spelling of 14827679768 in words is "fourteen billion, eight hundred twenty-seven million, six hundred seventy-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 103 121 127 206 242 254 412 484 508 824 968 1016 1133 1171 1397 2266 2342 2794 4532 4684 5588 9064 9368 11176 12463 12881 13081 15367 24926 25762 26162 30734 49852 51524 52324 61468 99704 103048 104648 120613 122936 141691 143891 148717 241226 283382 287782 297434 482452 566764 575564 594868 964904 1133528 1151128 1189736 1326743 1582801 1635887 2653486 3165602 3271774 5306972 6331204 6543548 10613944 12662408 13087096 14594173 15317851 17994757 29188346 30635702 35989514 58376692 61271404 71979028 116753384 122542808 143958056 168496361 336992722 673985444 1347970888 1853459971 3706919942 7413839884 14827679768