Search a number
-
+
12056055336 = 2333137515717
BaseRepresentation
bin10110011101001100…
…01100111000101000
31011010012121001211000
423032212030320220
5144142322232321
65312151035000
7604521531243
oct131646147050
934105531730
1012056055336
1151273688a6
12240566ba60
1311a1960170
1482525025a
154a8644826
hex2ce98ce28

12056055336 has 128 divisors (see below), whose sum is σ = 36119462400. Its totient is φ = 3703968000.

The previous prime is 12056055293. The next prime is 12056055397. The reversal of 12056055336 is 63355065021.

12056055336 is a `hidden beast` number, since 1 + 20 + 56 + 0 + 553 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12056055336.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2105950 + ... + 2111666.

It is an arithmetic number, because the mean of its divisors is an integer number (282183300).

Almost surely, 212056055336 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 12056055336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18059731200).

12056055336 is an abundant number, since it is smaller than the sum of its proper divisors (24063407064).

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

12056055336 is a wasteful number, since it uses less digits than its factorization.

12056055336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 12056055336 in words is "twelve billion, fifty-six million, fifty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 751 936 1404 1502 2253 2808 3004 4506 5717 6008 6759 9012 9763 11434 13518 17151 18024 19526 20277 22868 27036 29289 34302 39052 40554 45736 51453 54072 58578 68604 74321 78104 81108 87867 102906 117156 137208 148642 154359 162216 175734 205812 222963 234312 263601 297284 308718 351468 411624 445926 527202 594568 617436 668889 702936 891852 1054404 1234872 1337778 1783704 2006667 2108808 2675556 4013334 4293467 5351112 8026668 8586934 12880401 16053336 17173868 25760802 34347736 38641203 51521604 55815071 77282406 103043208 111630142 115923609 154564812 167445213 223260284 231847218 309129624 334890426 446520568 463694436 502335639 669780852 927388872 1004671278 1339561704 1507006917 2009342556 3014013834 4018685112 6028027668 12056055336