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12071732992 = 281119415503
BaseRepresentation
bin10110011111000100…
…00000011100000000
31011011022002120111221
423033202000130000
5144210330423432
65313511044424
7605102015554
oct131742003400
934138076457
1012071732992
1151351a6740
12240a970714
1311a4c8c097
14827371864
154a9bdeb97
hex2cf880700

12071732992 has 144 divisors (see below), whose sum is σ = 28350443520. Its totient is φ = 5070643200.

The previous prime is 12071732987. The next prime is 12071732993. The reversal of 12071732992 is 29923717021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12071732993) 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, 2190913 + ... + 2196415.

It is an arithmetic number, because the mean of its divisors is an integer number (196878080).

Almost surely, 212071732992 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 12071732992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175221760).

12071732992 is an abundant number, since it is smaller than the sum of its proper divisors (16278710528).

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

12071732992 is a wasteful number, since it uses less digits than its factorization.

12071732992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 12071732992 in words is "twelve billion, seventy-one million, seven hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 41 44 64 76 82 88 128 152 164 176 209 256 304 328 352 418 451 608 656 704 779 836 902 1216 1312 1408 1558 1672 1804 2432 2624 2816 3116 3344 3608 4864 5248 5503 6232 6688 7216 8569 10496 11006 12464 13376 14432 17138 22012 24928 26752 28864 34276 44024 49856 53504 57728 60533 68552 88048 99712 104557 115456 121066 137104 176096 199424 209114 225623 242132 274208 352192 418228 451246 484264 548416 704384 836456 902492 968528 1096832 1150127 1408768 1672912 1804984 1937056 2193664 2300254 2481853 3345824 3609968 3874112 4286837 4600508 4963706 6691648 7219936 7748224 8573674 9201016 9927412 13383296 14439872 15496448 17147348 18402032 19854824 26766592 28879744 34294696 36804064 39709648 47155207 57759488 68589392 73608128 79419296 94310414 137178784 147216256 158838592 188620828 274357568 294432512 317677184 377241656 548715136 635354368 754483312 1097430272 1508966624 3017933248 6035866496 12071732992