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8140008097 = 132917214657
BaseRepresentation
bin1111001010010111…
…01010101010100001
3210000021212020220101
413211023222222201
5113132320224342
63423420342401
7405500633014
oct74513525241
923007766811
108140008097
1134a7905621
1216b20a4a01
139c9554050
1457311137b
153299543b7
hex1e52eaaa1

8140008097 has 8 divisors (see below), whose sum is σ = 8769208616. Its totient is φ = 7511242752.

The previous prime is 8140008091. The next prime is 8140008109. The reversal of 8140008097 is 7908000418.

It can be written as a sum of positive squares in 4 ways, for example, as 336759201 + 7803248896 = 18351^2 + 88336^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8140008097 - 27 = 8140007969 is a prime.

It is a super-2 number, since 2×81400080972 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8140008091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69408 + ... + 145249.

It is an arithmetic number, because the mean of its divisors is an integer number (1096151077).

Almost surely, 28140008097 is an apocalyptic number.

It is an amenable number.

8140008097 is a deficient number, since it is larger than the sum of its proper divisors (629200519).

8140008097 is a wasteful number, since it uses less digits than its factorization.

8140008097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217587.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 8140008097 is about 90221.9934217816. The cubic root of 8140008097 is about 2011.5999321316.

The spelling of 8140008097 in words is "eight billion, one hundred forty million, eight thousand, ninety-seven".

Divisors: 1 13 2917 37921 214657 2790541 626154469 8140008097