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12327314832 = 243471358831
BaseRepresentation
bin10110111101100001…
…11110010110010000
31011211010000110220000
423132300332112100
5200221243033312
65355121050000
7614324306250
oct133660762620
934733013800
1012327314832
1152564a20a8
122480486900
131215c07341
1484d2a1960
154c2377adc
hex2dec3e590

12327314832 has 100 divisors (see below), whose sum is σ = 40775830656. Its totient is φ = 3522087360.

The previous prime is 12327314821. The next prime is 12327314837. The reversal of 12327314832 is 23841372321.

12327314832 is a `hidden beast` number, since 12 + 327 + 314 + 8 + 3 + 2 = 666.

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 not an unprimeable number, because it can be changed into a prime (12327314837) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 670344 + ... + 688487.

Almost surely, 212327314832 is an apocalyptic number.

12327314832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12327314832 is an abundant number, since it is smaller than the sum of its proper divisors (28448515824).

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

12327314832 is a wasteful number, since it uses less digits than its factorization.

12327314832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358858 (or 1358843 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 12327314832 in words is "twelve billion, three hundred twenty-seven million, three hundred fourteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 1358831 2717662 4076493 5435324 8152986 9511817 10870648 12229479 16305972 19023634 21741296 24458958 28535451 32611944 36688437 38047268 48917916 57070902 65223888 73376874 76094536 85606353 97835832 110065311 114141804 146753748 152189072 171212706 195671664 220130622 228283608 256819059 293507496 342425412 440261244 456567216 513638118 587014992 684850824 770457177 880522488 1027276236 1369701648 1540914354 1761044976 2054552472 3081828708 4109104944 6163657416 12327314832