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3664048077 = 322814013613
BaseRepresentation
bin1101101001100100…
…1110111111001101
3100110100112221001100
43122121032333031
530000444014302
61403325133313
7156540615624
oct33231167715
910410487040
103664048077
111610294608
128630ba239
134651467b1
1426a8a26bb
15166a13d1c
hexda64efcd

3664048077 has 24 divisors (see below), whose sum is σ = 5326067448. Its totient is φ = 2427264000.

The previous prime is 3664048057. The next prime is 3664048093. The reversal of 3664048077 is 7708404663.

3664048077 is a `hidden beast` number, since 3 + 66 + 40 + 480 + 77 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 676988361 + 2987059716 = 26019^2 + 54654^2 .

It is a de Polignac number, because none of the positive numbers 2k-3664048077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664048057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012323 + ... + 1015935.

It is an arithmetic number, because the mean of its divisors is an integer number (221919477).

Almost surely, 23664048077 is an apocalyptic number.

It is an amenable number.

3664048077 is a deficient number, since it is larger than the sum of its proper divisors (1662019371).

3664048077 is a wasteful number, since it uses less digits than its factorization.

3664048077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3664048077 is about 60531.3809275817. The cubic root of 3664048077 is about 1541.6544984882.

The spelling of 3664048077 in words is "three billion, six hundred sixty-four million, forty-eight thousand, seventy-seven".

Divisors: 1 3 9 281 401 843 1203 2529 3609 3613 10839 32517 112681 338043 1014129 1015253 1448813 3045759 4346439 9137277 13039317 407116453 1221349359 3664048077