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12647228040 = 23325231527443
BaseRepresentation
bin10111100011101010…
…10110001010001000
31012122101222202022100
423301311112022020
5201400142244130
65450545553400
7625260443646
oct136165261210
935571882270
1012647228040
115400037687
12254b645860
131267287bb5
1487d97a196
154e04bbc60
hex2f1d56288

12647228040 has 96 divisors (see below), whose sum is σ = 42890627520. Its totient is φ = 3225957504.

The previous prime is 12647228029. The next prime is 12647228089. The reversal of 12647228040 is 4082274621.

12647228040 is a `hidden beast` number, since 1 + 2 + 647 + 2 + 2 + 8 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12647227986 and 12647228004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755442 + ... + 772001.

It is an arithmetic number, because the mean of its divisors is an integer number (446777370).

Almost surely, 212647228040 is an apocalyptic number.

12647228040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12647228040 is an abundant number, since it is smaller than the sum of its proper divisors (30243399480).

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

12647228040 is a wasteful number, since it uses less digits than its factorization.

12647228040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527483 (or 1527476 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12647228040 in words is "twelve billion, six hundred forty-seven million, two hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 1527443 3054886 4582329 6109772 7637215 9164658 12219544 13746987 15274430 18329316 22911645 27493974 30548860 35131189 36658632 45823290 54987948 61097720 68734935 70262378 91646580 105393567 109975896 137469870 140524756 175655945 183293160 210787134 274939740 281049512 316180701 351311890 421574268 526967835 549879480 632361402 702623780 843148536 1053935670 1264722804 1405247560 1580903505 2107871340 2529445608 3161807010 4215742680 6323614020 12647228040