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6431614164 = 22362205629
BaseRepresentation
bin1011111110101101…
…01010010011010100
3121121020012212000000
411333112222103110
5101132443123124
62542111451300
7315244550463
oct57726522324
917536185000
106431614164
112800529a08
1212b5b26b30
137b6628c71
144502829da
152799936c9
hex17f5aa4d4

6431614164 has 42 divisors (see below), whose sum is σ = 16875275130. Its totient is φ = 2143870416.

The previous prime is 6431614159. The next prime is 6431614169. The reversal of 6431614164 is 4614161346.

6431614164 is a `hidden beast` number, since 6 + 4 + 31 + 614 + 1 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6431614159) and next prime (6431614169).

It can be written as a sum of positive squares in only one way, i.e., 5634003600 + 797610564 = 75060^2 + 28242^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6431614169) 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 13 ways as a sum of consecutive naturals, for example, 1099899 + ... + 1105730.

It is an arithmetic number, because the mean of its divisors is an integer number (401792265).

Almost surely, 26431614164 is an apocalyptic number.

It is an amenable number.

6431614164 is an abundant number, since it is smaller than the sum of its proper divisors (10443660966).

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

6431614164 is a wasteful number, since it uses less digits than its factorization.

6431614164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205651 (or 2205634 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6431614164 is about 80197.3451181521. The cubic root of 6431614164 is about 1859.6875958148.

The spelling of 6431614164 in words is "six billion, four hundred thirty-one million, six hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 2205629 4411258 6616887 8822516 13233774 19850661 26467548 39701322 59551983 79402644 119103966 178655949 238207932 357311898 535967847 714623796 1071935694 1607903541 2143871388 3215807082 6431614164