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4680457541 = 41472428883
BaseRepresentation
bin1000101101111101…
…00001110101000101
3110002012002212201022
410112332201311011
534041144120131
62052234240525
7223662142544
oct42676416505
913065085638
104680457541
111a91aa6031
12aa7586145
135978aaa06
1432588215b
151c5d8737b
hex116fa1d45

4680457541 has 8 divisors (see below), whose sum is σ = 4896630144. Its totient is φ = 4469142880.

The previous prime is 4680457499. The next prime is 4680457567. The reversal of 4680457541 is 1457540864.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4680457541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4680457492 and 4680457501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680457591) by changing a digit.

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, 1212515 + ... + 1216368.

It is an arithmetic number, because the mean of its divisors is an integer number (612078768).

Almost surely, 24680457541 is an apocalyptic number.

4680457541 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4680457541 is a deficient number, since it is larger than the sum of its proper divisors (216172603).

4680457541 is a wasteful number, since it uses less digits than its factorization.

4680457541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428971.

The product of its (nonzero) digits is 537600, while the sum is 44.

The square root of 4680457541 is about 68413.8695075787. The cubic root of 4680457541 is about 1672.7438299500.

The spelling of 4680457541 in words is "four billion, six hundred eighty million, four hundred fifty-seven thousand, five hundred forty-one".

Divisors: 1 41 47 1927 2428883 99584203 114157501 4680457541