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12070974848 = 271729197971
BaseRepresentation
bin10110011110111110…
…00111010110000000
31011011020200001112112
423033133013112000
5144210132143343
65313442514452
7605062410332
oct131737072600
934136601475
1012070974848
115134829079
12240a665a28
1311a4a84c8a
14827215452
154a9ae0218
hex2cf7c7580

12070974848 has 128 divisors (see below), whose sum is σ = 26501191200. Its totient is φ = 5451120640.

The previous prime is 12070974841. The next prime is 12070974863. The reversal of 12070974848 is 84847907021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12070974796 and 12070974805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12070974841) 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, 12431003 + ... + 12431973.

Almost surely, 212070974848 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 12070974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250595600).

12070974848 is an abundant number, since it is smaller than the sum of its proper divisors (14430216352).

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

12070974848 is a wasteful number, since it uses less digits than its factorization.

12070974848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 50.

The spelling of 12070974848 in words is "twelve billion, seventy million, nine hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 197 232 272 394 464 493 544 788 928 971 986 1088 1576 1856 1942 1972 2176 3152 3349 3712 3884 3944 5713 6304 6698 7768 7888 11426 12608 13396 15536 15776 16507 22852 25216 26792 28159 31072 31552 33014 45704 53584 56318 62144 63104 66028 91408 97121 107168 112636 124288 132056 182816 191287 194242 214336 225272 264112 365632 382574 388484 428672 450544 478703 528224 731264 765148 776968 901088 957406 1056448 1530296 1553936 1802176 1914812 2112896 3060592 3107872 3251879 3604352 3829624 5547323 6121184 6215744 6503758 7659248 11094646 12242368 12431488 13007516 15318496 22189292 24484736 26015032 30636992 44378584 52030064 61273984 88757168 94304491 104060128 177514336 188608982 208120256 355028672 377217964 416240512 710057344 754435928 1508871856 3017743712 6035487424 12070974848