Search a number
-
+
12083057792 = 271343473593
BaseRepresentation
bin10110100000011010…
…01101010010000000
31011012002101221012222
423100031031102000
5144221230322132
65314553510212
7605300203511
oct132015152200
934162357188
1012083057792
115140631183
122412712368
1311a7425950
14828a7ca08
154aabca412
hex2d034d480

12083057792 has 128 divisors (see below), whose sum is σ = 27098184960. Its totient is φ = 5329723392.

The previous prime is 12083057741. The next prime is 12083057813. The reversal of 12083057792 is 29775038021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3361148 + ... + 3364740.

It is an arithmetic number, because the mean of its divisors is an integer number (211704570).

Almost surely, 212083057792 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 12083057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13549092480).

12083057792 is an abundant number, since it is smaller than the sum of its proper divisors (15015127168).

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

12083057792 is a wasteful number, since it uses less digits than its factorization.

12083057792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 12083057792 in words is "twelve billion, eighty-three million, fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 43 47 52 64 86 94 104 128 172 188 208 344 376 416 559 611 688 752 832 1118 1222 1376 1504 1664 2021 2236 2444 2752 3008 3593 4042 4472 4888 5504 6016 7186 8084 8944 9776 14372 16168 17888 19552 26273 28744 32336 35776 39104 46709 52546 57488 64672 71552 78208 93418 105092 114976 129344 154499 168871 186836 210184 229952 258688 308998 337742 373672 420368 459904 617996 675484 747344 840736 1235992 1350968 1494688 1681472 2008487 2195323 2471984 2701936 2989376 3362944 4016974 4390646 4943968 5403872 5978752 7261453 8033948 8781292 9887936 10807744 14522906 16067896 17562584 19775872 21615488 29045812 32135792 35125168 58091624 64271584 70250336 94398889 116183248 128543168 140500672 188797778 232366496 257086336 281001344 377595556 464732992 755191112 929465984 1510382224 3020764448 6041528896 12083057792