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8137005312 = 28310595059
BaseRepresentation
bin1111001010000000…
…01101100100000000
3210000002012200212010
413211000031210000
5113131033132222
63423232132520
7405433255362
oct74500154400
923002180763
108137005312
1134a6144587
1216b1097140
139c8a42357
1457296cd32
1532955e80c
hex1e500d900

8137005312 has 36 divisors (see below), whose sum is σ = 21656302640. Its totient is φ = 2712334848.

The previous prime is 8137005311. The next prime is 8137005313. The reversal of 8137005312 is 2135007318.

It is an interprime number because it is at equal distance from previous prime (8137005311) and next prime (8137005313).

It is a self number, because there is not a number n which added to its sum of digits gives 8137005312.

It is not an unprimeable number, because it can be changed into a prime (8137005311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5296762 + ... + 5298297.

Almost surely, 28137005312 is an apocalyptic number.

It is an amenable number.

8137005312 is an abundant number, since it is smaller than the sum of its proper divisors (13519297328).

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

8137005312 is a wasteful number, since it uses less digits than its factorization.

8137005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10595078 (or 10595064 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 8137005312 is about 90205.3507947284. The cubic root of 8137005312 is about 2011.3525472422.

The spelling of 8137005312 in words is "eight billion, one hundred thirty-seven million, five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 10595059 21190118 31785177 42380236 63570354 84760472 127140708 169520944 254281416 339041888 508562832 678083776 1017125664 1356167552 2034251328 2712335104 4068502656 8137005312