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3680227541 = 174343111681
BaseRepresentation
bin1101101101011011…
…1101000011010101
3100111110222221002202
43123112331003111
530014114240131
61405104014245
7160125263234
oct33326750325
910443887082
103680227541
111619435471
12868601385
134685bcc43
1426cab4b1b
1516815cbcb
hexdb5bd0d5

3680227541 has 16 divisors (see below), whose sum is σ = 3996926208. Its totient is φ = 3375052800.

The previous prime is 3680227531. The next prime is 3680227547. The reversal of 3680227541 is 1457220863.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-3680227541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3680227495 and 3680227504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680227547) 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 15 ways as a sum of consecutive naturals, for example, 309221 + ... + 320901.

It is an arithmetic number, because the mean of its divisors is an integer number (249807888).

Almost surely, 23680227541 is an apocalyptic number.

It is an amenable number.

3680227541 is a deficient number, since it is larger than the sum of its proper divisors (316698667).

3680227541 is a wasteful number, since it uses less digits than its factorization.

3680227541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172.

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 3680227541 is about 60664.8789745764. The cubic root of 3680227541 is about 1543.9203456820.

The spelling of 3680227541 in words is "three billion, six hundred eighty million, two hundred twenty-seven thousand, five hundred forty-one".

Divisors: 1 17 43 431 731 7327 11681 18533 198577 315061 502283 5034511 8538811 85586687 216483973 3680227541