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3819892961 = 41181514741
BaseRepresentation
bin1110001110101110…
…1111000011100001
3100212012210200001002
43203223233003201
530310343033321
61431013321345
7163442361113
oct34353570341
910765720032
103819892961
111690259135
128a7336255
1348b510bc1
1428346d3b3
1517554a20b
hexe3aef0e1

3819892961 has 8 divisors (see below), whose sum is σ = 3934687848. Its totient is φ = 3706128000.

The previous prime is 3819892957. The next prime is 3819893027. The reversal of 3819892961 is 1692989183.

It can be written as a sum of positive squares in 4 ways, for example, as 253414561 + 3566478400 = 15919^2 + 59720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3819892961 - 22 = 3819892957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3819892897 and 3819892906.

It is not an unprimeable number, because it can be changed into a prime (3819492961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249950 + ... + 264791.

It is an arithmetic number, because the mean of its divisors is an integer number (491835981).

Almost surely, 23819892961 is an apocalyptic number.

It is an amenable number.

3819892961 is a deficient number, since it is larger than the sum of its proper divisors (114794887).

3819892961 is a wasteful number, since it uses less digits than its factorization.

3819892961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514963.

The product of its digits is 1679616, while the sum is 56.

The square root of 3819892961 is about 61805.2826302089. The cubic root of 3819892961 is about 1563.2090637861.

The spelling of 3819892961 in words is "three billion, eight hundred nineteen million, eight hundred ninety-two thousand, nine hundred sixty-one".

Divisors: 1 41 181 7421 514741 21104381 93168121 3819892961