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12037056416 = 257115392173
BaseRepresentation
bin10110011010111011…
…01110011110100000
31011001212211211012022
423031131232132200
5144122441301131
65310231521012
7604201201640
oct131535563640
934055754168
1012037056416
115117671710
1223bb229168
13119aa3a5b8
14822906520
154a6b4037b
hex2cd76e7a0

12037056416 has 96 divisors (see below), whose sum is σ = 30103291008. Its totient is φ = 4601226240.

The previous prime is 12037056407. The next prime is 12037056439. The reversal of 12037056416 is 61465073021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84506 + ... + 176678.

It is an arithmetic number, because the mean of its divisors is an integer number (313575948).

Almost surely, 212037056416 is an apocalyptic number.

12037056416 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 12037056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051645504).

12037056416 is an abundant number, since it is smaller than the sum of its proper divisors (18066234592).

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

12037056416 is a wasteful number, since it uses less digits than its factorization.

12037056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92254 (or 92246 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

It can be divided in two parts, 1203705 and 6416, that added together give a palindrome (1210121).

The spelling of 12037056416 in words is "twelve billion, thirty-seven million, fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 77 88 106 112 154 176 212 224 308 352 371 424 583 616 742 848 1166 1232 1484 1696 2332 2464 2968 4081 4664 5936 8162 9328 11872 16324 18656 32648 65296 92173 130592 184346 368692 645211 737384 1013903 1290422 1474768 2027806 2580844 2949536 4055612 4885169 5161688 7097321 8111224 9770338 10323376 14194642 16222448 19540676 20646752 28389284 32444896 34196183 39081352 53736859 56778568 68392366 78162704 107473718 113557136 136784732 156325408 214947436 227114272 273569464 376158013 429894872 547138928 752316026 859789744 1094277856 1504632052 1719579488 3009264104 6018528208 12037056416