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12342612384 = 2533109131059
BaseRepresentation
bin10110111111010110…
…10101000110100000
31011212011210200012000
423133223111012200
5200234202044014
65400425004000
7614601321444
oct133753250640
934764720160
1012342612384
1152640a0403
122485623600
13121913224b
14851324824
154c389a509
hex2dfad51a0

12342612384 has 96 divisors (see below), whose sum is σ = 36329832000. Its totient is φ = 4076428032.

The previous prime is 12342612379. The next prime is 12342612409. The reversal of 12342612384 is 48321624321.

12342612384 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 2 + 612 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28647 + ... + 159705.

It is an arithmetic number, because the mean of its divisors is an integer number (378435750).

Almost surely, 212342612384 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 12342612384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164916000).

12342612384 is an abundant number, since it is smaller than the sum of its proper divisors (23987219616).

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

12342612384 is a wasteful number, since it uses less digits than its factorization.

12342612384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131187 (or 131173 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

It can be divided in two parts, 12342612 and 384, that added together give a triangular number (12342996 = T4968).

The spelling of 12342612384 in words is "twelve billion, three hundred forty-two million, six hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 109 144 216 218 288 327 432 436 654 864 872 981 1308 1744 1962 2616 2943 3488 3924 5232 5886 7848 10464 11772 15696 23544 31392 47088 94176 131059 262118 393177 524236 786354 1048472 1179531 1572708 2096944 2359062 3145416 3538593 4193888 4718124 6290832 7077186 9436248 12581664 14154372 14285431 18872496 28308744 28570862 37744992 42856293 56617488 57141724 85712586 113234976 114283448 128568879 171425172 228566896 257137758 342850344 385706637 457133792 514275516 685700688 771413274 1028551032 1371401376 1542826548 2057102064 3085653096 4114204128 6171306192 12342612384