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12087015756 = 22319478631307
BaseRepresentation
bin10110100000111000…
…10011100101001100
31011012100212000112020
423100130103211030
5144223234001011
65315214410140
7605345636664
oct132034234514
934170760466
1012087015756
115142894922
122413b00950
1311a81b033a
148293cd1a4
154ab20d006
hex2d071394c

12087015756 has 96 divisors (see below), whose sum is σ = 30377410560. Its totient is φ = 3728556864.

The previous prime is 12087015751. The next prime is 12087015769. The reversal of 12087015756 is 65751078021.

It is not an unprimeable number, because it can be changed into a prime (12087015751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9247255 + ... + 9248561.

It is an arithmetic number, because the mean of its divisors is an integer number (316431360).

Almost surely, 212087015756 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 12087015756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15188705280).

12087015756 is an abundant number, since it is smaller than the sum of its proper divisors (18290394804).

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

12087015756 is a wasteful number, since it uses less digits than its factorization.

12087015756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 12087015756 in words is "twelve billion, eighty-seven million, fifteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 863 893 1307 1726 1786 2589 2614 2679 3452 3572 3921 5178 5228 5358 7842 10356 10716 15684 16397 24833 32794 40561 49191 49666 61429 65588 74499 81122 98382 99332 121683 122858 148998 162244 184287 196764 243366 245716 297996 368574 486732 737148 770659 1127941 1167151 1541318 2255882 2311977 2334302 3082636 3383823 3501453 4511764 4623954 4668604 6767646 7002906 9247908 13535292 14005812 21430879 42861758 53013227 64292637 85723516 106026454 128585274 159039681 212052908 257170548 318079362 636158724 1007251313 2014502626 3021753939 4029005252 6043507878 12087015756