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4113620766 = 2326113926953
BaseRepresentation
bin1111010100110000…
…1101111100011110
3101121200111120211200
43311030031330132
531411041331031
61520105100330
7203640125313
oct36514157436
911550446750
104113620766
111821039192
129697876a6
13507323b38
142b048cd0a
1519121a8e6
hexf530df1e

4113620766 has 48 divisors (see below), whose sum is σ = 9124468080. Its totient is φ = 1338975360.

The previous prime is 4113620761. The next prime is 4113620767. The reversal of 4113620766 is 6670263114.

It is a happy number.

4113620766 is a `hidden beast` number, since 411 + 36 + 207 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4113620766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113620761) 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 23 ways as a sum of consecutive naturals, for example, 139146 + ... + 166098.

It is an arithmetic number, because the mean of its divisors is an integer number (190093085).

Almost surely, 24113620766 is an apocalyptic number.

4113620766 is an abundant number, since it is smaller than the sum of its proper divisors (5010847314).

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

4113620766 is a wasteful number, since it uses less digits than its factorization.

4113620766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27161 (or 27158 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4113620766 is about 64137.5144981469. The cubic root of 4113620766 is about 1602.2910883284.

The spelling of 4113620766 in words is "four billion, one hundred thirteen million, six hundred twenty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 61 122 139 183 278 366 417 549 834 1098 1251 2502 8479 16958 25437 26953 50874 53906 76311 80859 152622 161718 242577 485154 1644133 3288266 3746467 4932399 7492934 9864798 11239401 14797197 22478802 29594394 33718203 67436406 228534487 457068974 685603461 1371206922 2056810383 4113620766