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12326055040 = 275131481497
BaseRepresentation
bin10110111101011000…
…01010110010000000
31011211000122110210001
423132230022302000
5200220432230130
65355034045344
7614310511345
oct133654126200
934730573701
1012326055040
115255811652
12247bb79854
131215885ac0
1484d0547cc
154c21c96ca
hex2deb0ac80

12326055040 has 64 divisors (see below), whose sum is σ = 31733687160. Its totient is φ = 4551155712.

The previous prime is 12326054981. The next prime is 12326055061. The reversal of 12326055040 is 4055062321.

It can be written as a sum of positive squares in 4 ways, for example, as 8571797056 + 3754257984 = 92584^2 + 61272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732429 + ... + 749068.

Almost surely, 212326055040 is an apocalyptic number.

12326055040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12326055040 is an abundant number, since it is smaller than the sum of its proper divisors (19407632120).

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

12326055040 is a wasteful number, since it uses less digits than its factorization.

12326055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481529 (or 1481517 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 12326055040 in words is "twelve billion, three hundred twenty-six million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1481497 2962994 5925988 7407485 11851976 14814970 19259461 23703952 29629940 38518922 47407904 59259880 77037844 94815808 96297305 118519760 154075688 189631616 192594610 237039520 308151376 385189220 474079040 616302752 770378440 948158080 1232605504 1540756880 2465211008 3081513760 6163027520 12326055040