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3268006536 = 2331943166667
BaseRepresentation
bin1100001011001001…
…1101001010001000
322102202022221012010
43002302131022020
523143102202121
61300140415520
7143661411564
oct30262351210
98382287163
103268006536
111427782753
127725475a0
1340108cba2
1423004c6a4
15141d83376
hexc2c9d288

3268006536 has 64 divisors (see below), whose sum is σ = 8800070400. Its totient is φ = 1007995968.

The previous prime is 3268006529. The next prime is 3268006561. The reversal of 3268006536 is 6356008623.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3268006494 and 3268006503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63726 + ... + 102941.

It is an arithmetic number, because the mean of its divisors is an integer number (137501100).

Almost surely, 23268006536 is an apocalyptic number.

It is an amenable number.

3268006536 is an abundant number, since it is smaller than the sum of its proper divisors (5532063864).

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

3268006536 is a wasteful number, since it uses less digits than its factorization.

3268006536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166738 (or 166734 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3268006536 is about 57166.4808782209. The cubic root of 3268006536 is about 1483.9786022396.

It can be divided in two parts, 326800 and 6536, that added together give a triangular number (333336 = T816).

The spelling of 3268006536 in words is "three billion, two hundred sixty-eight million, six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2451 3268 4902 6536 9804 19608 166667 333334 500001 666668 1000002 1333336 2000004 3166673 4000008 6333346 7166681 9500019 12666692 14333362 19000038 21500043 25333384 28666724 38000076 43000086 57333448 76000152 86000172 136166939 172000344 272333878 408500817 544667756 817001634 1089335512 1634003268 3268006536