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4168050640 = 245134007741
BaseRepresentation
bin1111100001101111…
…0110011111010000
3101202110220220120221
43320123312133100
532014010110030
61525331442424
7205200563065
oct37033663720
911673826527
104168050640
111849835156
12983a56414
135156a0670
142b77bac6c
15195dbce7a
hexf86f67d0

4168050640 has 40 divisors (see below), whose sum is σ = 10436160168. Its totient is φ = 1538972160.

The previous prime is 4168050619. The next prime is 4168050641. The reversal of 4168050640 is 460508614.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 4166960704 = 1044^2 + 64552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×41680506402 = 34745292275208819200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4168050596 and 4168050605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168050641) 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 7 ways as a sum of consecutive naturals, for example, 2002831 + ... + 2004910.

Almost surely, 24168050640 is an apocalyptic number.

4168050640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4168050640 is an abundant number, since it is smaller than the sum of its proper divisors (6268109528).

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

4168050640 is a wasteful number, since it uses less digits than its factorization.

4168050640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007767 (or 4007761 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 4168050640 is about 64560.4417580921. The cubic root of 4168050640 is about 1609.3271161623.

The spelling of 4168050640 in words is "four billion, one hundred sixty-eight million, fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 4007741 8015482 16030964 20038705 32061928 40077410 52100633 64123856 80154820 104201266 160309640 208402532 260503165 320619280 416805064 521006330 833610128 1042012660 2084025320 4168050640