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8486680464 = 2432349168869
BaseRepresentation
bin1111110011101100…
…00111011110010000
3210220110012000222200
413321312013132100
5114340042233324
63522043003200
7420210410433
oct77166073620
923813160880
108486680464
113665567709
12178a209500
13a53313722
145a719381a
1534a0d1ec9
hex1f9d87790

8486680464 has 60 divisors (see below), whose sum is σ = 23819113500. Its totient is φ = 2820771072.

The previous prime is 8486680459. The next prime is 8486680469. The reversal of 8486680464 is 4640866848.

8486680464 is a `hidden beast` number, since 8 + 48 + 66 + 80 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (8486680459) and next prime (8486680469).

It can be written as a sum of positive squares in 2 ways, for example, as 3373286400 + 5113394064 = 58080^2 + 71508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8486680464.

It is not an unprimeable number, because it can be changed into a prime (8486680469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34179 + ... + 134690.

It is an arithmetic number, because the mean of its divisors is an integer number (396985225).

Almost surely, 28486680464 is an apocalyptic number.

It is an amenable number.

8486680464 is an abundant number, since it is smaller than the sum of its proper divisors (15332433036).

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

8486680464 is a wasteful number, since it uses less digits than its factorization.

8486680464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169232 (or 169223 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The square root of 8486680464 is about 92123.1809264096. The cubic root of 8486680464 is about 2039.7609985285.

The spelling of 8486680464 in words is "eight billion, four hundred eighty-six million, six hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 698 1047 1396 2094 2792 3141 4188 5584 6282 8376 12564 16752 25128 50256 168869 337738 506607 675476 1013214 1350952 1519821 2026428 2701904 3039642 4052856 6079284 8105712 12158568 24317136 58935281 117870562 176805843 235741124 353611686 471482248 530417529 707223372 942964496 1060835058 1414446744 2121670116 2828893488 4243340232 8486680464