Search a number
-
+
4693881680 = 24561961861
BaseRepresentation
bin1000101111100011…
…01111001101010000
3110010010100220011122
410113301233031100
534103113203210
62053434101412
7224214223145
oct42761571520
913103326148
104693881680
111a99634864
12aabb7a868
1359a5caca7
143275783cc
151c7139b55
hex117c6f350

4693881680 has 40 divisors (see below), whose sum is σ = 11092192584. Its totient is φ = 1846771200.

The previous prime is 4693881649. The next prime is 4693881691. The reversal of 4693881680 is 861883964.

It can be written as a sum of positive squares in 4 ways, for example, as 420906256 + 4272975424 = 20516^2 + 65368^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476051 + ... + 485810.

Almost surely, 24693881680 is an apocalyptic number.

4693881680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4693881680 is an abundant number, since it is smaller than the sum of its proper divisors (6398310904).

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

4693881680 is a wasteful number, since it uses less digits than its factorization.

4693881680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961935 (or 961929 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 53.

The square root of 4693881680 is about 68511.9090377724. The cubic root of 4693881680 is about 1674.3415164705.

The spelling of 4693881680 in words is "four billion, six hundred ninety-three million, eight hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 961861 1923722 3847444 4809305 7694888 9618610 15389776 19237220 38474440 58673521 76948880 117347042 234694084 293367605 469388168 586735210 938776336 1173470420 2346940840 4693881680