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12413008748304 = 243512372580959
BaseRepresentation
bin1011010010100010000011…
…1110100001111100010000
31121221200010220220100200000
42310220200332201330100
53111333320214421204
642222242452530000
72420544633315303
oct264504076417420
947850126810600
1012413008748304
113a5636691735a
121485883620900
136c0707173818
1430cb15746b3a
15167d568e8039
hexb4a20fa1f10

12413008748304 has 120 divisors (see below), whose sum is σ = 36054958168320. Its totient is φ = 4134323058048.

The previous prime is 12413008748297. The next prime is 12413008748321. The reversal of 12413008748304 is 40384780031421.

12413008748304 is a `hidden beast` number, since 1 + 241 + 30 + 0 + 8 + 74 + 8 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12413008748304.

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 23 ways as a sum of consecutive naturals, for example, 3518977 + ... + 6099935.

It is an arithmetic number, because the mean of its divisors is an integer number (300457984736).

Almost surely, 212413008748304 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 12413008748304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18027479084160).

12413008748304 is an abundant number, since it is smaller than the sum of its proper divisors (23641949420016).

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

12413008748304 is a wasteful number, since it uses less digits than its factorization.

12413008748304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582219 (or 2582201 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

Adding to 12413008748304 its reverse (40384780031421), we get a palindrome (52797788779725).

The spelling of 12413008748304 in words is "twelve trillion, four hundred thirteen billion, eight million, seven hundred forty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1237 1296 1944 2474 3711 3888 4948 7422 9896 11133 14844 19792 22266 29688 33399 44532 59376 66798 89064 100197 133596 178128 200394 267192 300591 400788 534384 601182 801576 1202364 1603152 2404728 2580959 4809456 5161918 7742877 10323836 15485754 20647672 23228631 30971508 41295344 46457262 61943016 69685893 92914524 123886032 139371786 185829048 209057679 278743572 371658096 418115358 557487144 627173037 836230716 1114974288 1254346074 1672461432 2508692148 3192646283 3344922864 5017384296 6385292566 9577938849 10034768592 12770585132 19155877698 25541170264 28733816547 38311755396 51082340528 57467633094 76623510792 86201449641 114935266188 153247021584 172402899282 229870532376 258604348923 344805798564 459741064752 517208697846 689611597128 775813046769 1034417395692 1379223194256 1551626093538 2068834791384 3103252187076 4137669582768 6206504374152 12413008748304