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3967122945 = 3510115111733
BaseRepresentation
bin1110110001110101…
…0111111000000001
3101020110211201121110
43230131113320001
531111040413240
61453353113533
7200210663052
oct35435277001
911213751543
103967122945
111756379205
129286b88a9
134b2b80036
14298c36729
1518342dc80
hexec757e01

3967122945 has 32 divisors (see below), whose sum is σ = 6418185984. Its totient is φ = 2092256000.

The previous prime is 3967122923. The next prime is 3967122953. The reversal of 3967122945 is 5492217693.

It is not a de Polignac number, because 3967122945 - 26 = 3967122881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3967122894 and 3967122903.

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 31 ways as a sum of consecutive naturals, for example, 2288299 + ... + 2290031.

It is an arithmetic number, because the mean of its divisors is an integer number (200568312).

Almost surely, 23967122945 is an apocalyptic number.

It is an amenable number.

3967122945 is a deficient number, since it is larger than the sum of its proper divisors (2451063039).

3967122945 is a wasteful number, since it uses less digits than its factorization.

3967122945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353.

The product of its digits is 816480, while the sum is 48.

The square root of 3967122945 is about 62985.1009763420. The cubic root of 3967122945 is about 1583.0399925142.

The spelling of 3967122945 in words is "three billion, nine hundred sixty-seven million, one hundred twenty-two thousand, nine hundred forty-five".

Divisors: 1 3 5 15 101 303 505 1511 1515 1733 4533 5199 7555 8665 22665 25995 152611 175033 457833 525099 763055 875165 2289165 2618563 2625495 7855689 13092815 39278445 264474863 793424589 1322374315 3967122945