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12330400824 = 233378155027
BaseRepresentation
bin10110111101111001…
…01111110000111000
31011211022211021002000
423132330233300320
5200223040311244
65355311141000
7614362451310
oct133674576070
934738737060
1012330400824
11525820a705
122481514760
131216747b81
1484d866440
154c2787169
hex2def2fc38

12330400824 has 64 divisors (see below), whose sum is σ = 39144134400. Its totient is φ = 3522971232.

The previous prime is 12330400777. The next prime is 12330400847. The reversal of 12330400824 is 42800403321.

12330400824 is a `hidden beast` number, since 1 + 233 + 0 + 400 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4076002 + ... + 4079025.

It is an arithmetic number, because the mean of its divisors is an integer number (611627100).

Almost surely, 212330400824 is an apocalyptic number.

12330400824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12330400824 is an abundant number, since it is smaller than the sum of its proper divisors (26813733576).

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

12330400824 is a wasteful number, since it uses less digits than its factorization.

12330400824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155049 (or 8155039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12330400824 in words is "twelve billion, three hundred thirty million, four hundred thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 8155027 16310054 24465081 32620108 48930162 57085189 65240216 73395243 97860324 114170378 146790486 171255567 195720648 220185729 228340756 293580972 342511134 440371458 456681512 513766701 587161944 685022268 880742916 1027533402 1370044536 1541300103 1761485832 2055066804 3082600206 4110133608 6165200412 12330400824