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4681872041 = 721141211859
BaseRepresentation
bin1000101110000111…
…11011001010101001
3110002021202202001012
410113003323022221
534042024401131
62052324433305
7224010153500
oct42703731251
913067682035
104681872041
111a92881840
12aa7b48835
13597c847b2
14325b2d837
151c606652b
hex1170fb2a9

4681872041 has 24 divisors (see below), whose sum is σ = 6086314080. Its totient is φ = 3559214400.

The previous prime is 4681872031. The next prime is 4681872059. The reversal of 4681872041 is 1402781864.

It is a de Polignac number, because none of the positive numbers 2k-4681872041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 4681872041.

It is not an unprimeable number, because it can be changed into a prime (4681872031) 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 23 ways as a sum of consecutive naturals, for example, 83831 + ... + 128028.

It is an arithmetic number, because the mean of its divisors is an integer number (253596420).

Almost surely, 24681872041 is an apocalyptic number.

4681872041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4681872041 is a deficient number, since it is larger than the sum of its proper divisors (1404442039).

4681872041 is a wasteful number, since it uses less digits than its factorization.

4681872041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211925 (or 211918 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 4681872041 is about 68424.2065427141. The cubic root of 4681872041 is about 1672.9123218699.

The spelling of 4681872041 in words is "four billion, six hundred eighty-one million, eight hundred seventy-two thousand, forty-one".

Divisors: 1 7 11 41 49 77 287 451 539 2009 3157 22099 211859 1483013 2330449 8686219 10381091 16313143 60803533 95548409 114192001 425624731 668838863 4681872041