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12348532400796 = 22321817559250709
BaseRepresentation
bin1011001110110001110111…
…1000110010001010011100
31121201111201110021112112100
42303230131320302022130
53104304243243311141
642132500521005100
72413103100360624
oct263543570621234
947644643245470
1012348532400796
113a30a8a684149
12147528a623790
136b76002018c7
1430995a583884
151663311ca0b6
hexb3b1de3229c

12348532400796 has 72 divisors (see below), whose sum is σ = 31391078191200. Its totient is φ = 4092878298240.

The previous prime is 12348532400777. The next prime is 12348532400837. The reversal of 12348532400796 is 69700423584321.

12348532400796 is a `hidden beast` number, since 1 + 2 + 3 + 485 + 32 + 40 + 0 + 7 + 96 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 49129090 + ... + 49379798.

It is an arithmetic number, because the mean of its divisors is an integer number (435987197100).

It is a 1-persistent number, because it is pandigital, but 2⋅12348532400796 = 24697064801592 is not.

Almost surely, 212348532400796 is an apocalyptic number.

It is an amenable number.

12348532400796 is an abundant number, since it is smaller than the sum of its proper divisors (19042545790404).

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

12348532400796 is a wasteful number, since it uses less digits than its factorization.

12348532400796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258459 (or 258454 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12348532400796 in words is "twelve trillion, three hundred forty-eight billion, five hundred thirty-two million, four hundred thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 7559 15118 22677 30236 45354 68031 90708 136062 250709 272124 501418 752127 1002836 1368179 1504254 2256381 2736358 3008508 4104537 4512762 5472716 8209074 9025524 12313611 16418148 24627222 45378329 49254444 90756658 136134987 181513316 272269974 408404961 544539948 816809922 1633619844 1895109331 3790218662 5685327993 7580437324 11370655986 17055983979 22741311972 34111967958 68223935916 343014788911 686029577822 1029044366733 1372059155644 2058088733466 3087133100199 4116177466932 6174266200398 12348532400796