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3963835681 = 1322921672
BaseRepresentation
bin1110110001000011…
…0101010100100001
3101020020122201022221
43230100311110201
531104220220211
61453154431041
7200141022151
oct35420652441
911206581287
103963835681
111754533463
12927592481
134b229ba00
1429861c761
15182ecec71
hexec435521

3963835681 has 27 divisors (see below), whose sum is σ = 4472089401. Its totient is φ = 3511601184.

The previous prime is 3963835633. The next prime is 3963835697. The reversal of 3963835681 is 1865383693.

The square root of 3963835681 is 62959.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 508277025 + 3455558656 = 22545^2 + 58784^2 .

It is a de Polignac number, because none of the positive numbers 2k-3963835681 is a prime.

It is a super-2 number, since 2×39638356812 = 31423986611937467522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3963865681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23735460 + ... + 23735626.

Almost surely, 23963835681 is an apocalyptic number.

3963835681 is the 62959-th square number.

3963835681 is the 31480-th centered octagonal number.

It is an amenable number.

3963835681 is a deficient number, since it is larger than the sum of its proper divisors (508253720).

3963835681 is an equidigital number, since it uses as much as digits as its factorization.

3963835681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 52.

The cubic root of 3963835681 is about 1582.6026219506.

The spelling of 3963835681 in words is "three billion, nine hundred sixty-three million, eight hundred thirty-five thousand, six hundred eighty-one".

Divisors: 1 13 29 167 169 377 841 2171 4843 4901 10933 27889 28223 62959 140447 142129 362557 808781 818467 1825811 4713241 10514153 23454649 23735543 136683989 304910437 3963835681