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8270090117 = 972332771321
BaseRepresentation
bin1111011001110111…
…11000111110000101
3210100100122002212222
413230323320332011
5113414120340432
63444344422125
7411640414622
oct75473707605
923310562788
108270090117
113564283123
121729777945
13a1a49ac63
145864d3349
1533609c112
hex1ecef8f85

8270090117 has 16 divisors (see below), whose sum is σ = 8427876912. Its totient is φ = 8114135040.

The previous prime is 8270090083. The next prime is 8270090177. The reversal of 8270090117 is 7110900728.

It can be written as a sum of positive squares in 8 ways, for example, as 96845281 + 8173244836 = 9841^2 + 90406^2 .

It is a cyclic number.

It is not a de Polignac number, because 8270090117 - 212 = 8270086021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8270090177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6259817 + ... + 6261137.

It is an arithmetic number, because the mean of its divisors is an integer number (526742307).

Almost surely, 28270090117 is an apocalyptic number.

It is an amenable number.

8270090117 is a deficient number, since it is larger than the sum of its proper divisors (157786795).

8270090117 is a wasteful number, since it uses less digits than its factorization.

8270090117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928.

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 8270090117 is about 90940.0358313103. The cubic root of 8270090117 is about 2022.2588622500.

The spelling of 8270090117 in words is "eight billion, two hundred seventy million, ninety thousand, one hundred seventeen".

Divisors: 1 97 233 277 1321 22601 26869 64541 128137 307793 365917 6260477 29855921 35493949 85258661 8270090117