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4016897641 = 61210392
BaseRepresentation
bin1110111101101100…
…1111111001101001
3101100221111112122201
43233123033321221
531211311211031
61502332020201
7201354031561
oct35733177151
911327445581
104016897641
111781485719
12941301661
134c0289a13
142a16b1da1
151879b1d61
hexef6cfe69

4016897641 has 9 divisors (see below), whose sum is σ = 4087762263. Its totient is φ = 3947244120.

The previous prime is 4016897639. The next prime is 4016897653. The reversal of 4016897641 is 1467986104.

The square root of 4016897641 is 63379.

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

It can be written as a sum of positive squares in only one way, i.e., 130622041 + 3886275600 = 11429^2 + 62340^2 .

It is not a de Polignac number, because 4016897641 - 21 = 4016897639 is a prime.

It is a super-2 number, since 2×40168976412 = 32270933316542729762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4016897591 and 4016897600.

It is not an unprimeable number, because it can be changed into a prime (4016897681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3865600 + ... + 3866638.

It is an arithmetic number, because the mean of its divisors is an integer number (454195807).

Almost surely, 24016897641 is an apocalyptic number.

4016897641 is the 63379-th square number.

4016897641 is the 31690-th centered octagonal number.

It is an amenable number.

4016897641 is a deficient number, since it is larger than the sum of its proper divisors (70864622).

4016897641 is an frugal number, since it uses more digits than its factorization.

4016897641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The cubic root of 4016897641 is about 1589.6331895160.

The spelling of 4016897641 in words is "four billion, sixteen million, eight hundred ninety-seven thousand, six hundred forty-one".

Divisors: 1 61 1039 3721 63379 1079521 3866119 65850781 4016897641