Search a number
-
+
12532306462256 = 24714917915792657
BaseRepresentation
bin1011011001011110011110…
…1011001100011000110000
31122101002001222121010211002
42312113213223030120300
53120312130423243011
642353132340541132
72432300144205440
oct266274753143060
948332058533732
1012532306462256
113aa1a15310589
1214a4a180b17a8
136cba399cb0c9
143147d16bc120
1516aed9dc8c3b
hexb65e7acc630

12532306462256 has 160 divisors (see below), whose sum is σ = 28120789440000. Its totient is φ = 5299782230016.

The previous prime is 12532306462229. The next prime is 12532306462267. The reversal of 12532306462256 is 65226460323521.

It is a self number, because there is not a number n which added to its sum of digits gives 12532306462256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4716711680 + ... + 4716714336.

It is an arithmetic number, because the mean of its divisors is an integer number (175754934000).

Almost surely, 212532306462256 is an apocalyptic number.

12532306462256 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 12532306462256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060394720000).

12532306462256 is an abundant number, since it is smaller than the sum of its proper divisors (15588482977744).

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

12532306462256 is a wasteful number, since it uses less digits than its factorization.

12532306462256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 47.

Adding to 12532306462256 its reverse (65226460323521), we get a palindrome (77758766785777).

The spelling of 12532306462256 in words is "twelve trillion, five hundred thirty-two billion, three hundred six million, four hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 179 298 358 596 716 1043 1192 1253 1432 1579 2086 2384 2506 2657 2864 3158 4172 5012 5314 6316 8344 10024 10628 11053 12632 16688 18599 20048 21256 22106 25264 26671 37198 42512 44212 53342 74396 88424 106684 148792 176848 186697 213368 235271 282641 297584 373394 395893 426736 470542 475603 565282 746788 791786 941084 951206 1130564 1493576 1583572 1646897 1882168 1902412 1978487 2261128 2771251 2987152 3167144 3293794 3329221 3764336 3804824 3956974 4195403 4522256 5542502 6334288 6587588 6658442 7609648 7913948 8390806 11085004 13175176 13316884 15827896 16781612 22170008 26350352 26633768 29367821 31655792 33563224 42113509 44340016 53267536 58735642 67126448 70864847 84227018 117471284 141729694 168454036 234942568 283459388 294794563 336908072 469885136 496053929 566918776 589589126 625115047 673816144 750977137 992107858 1133837552 1179178252 1250230094 1501954274 1984215716 2358356504 2500460188 3003908548 3968431432 4375805329 4716713008 5000920376 5256839959 6007817096 7936862864 8751610658 10001840752 10513679918 12015634192 17503221316 21027359836 35006442632 42054719672 70012885264 84109439344 111895593413 223791186826 447582373652 783269153891 895164747304 1566538307782 1790329494608 3133076615564 6266153231128 12532306462256