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4993580961 = 33457404699
BaseRepresentation
bin1001010011010001…
…11111111110100001
3110220000022012022000
410221220333332201
540211324042321
62143301434213
7234513511035
oct45150777641
913800265260
104993580961
112132823316
12b7440b969
13617721c45
143552b01c5
151e35d9826
hex129a3ffa1

4993580961 has 16 divisors (see below), whose sum is σ = 7414104000. Its totient is φ = 3321761184.

The previous prime is 4993580929. The next prime is 4993580983. The reversal of 4993580961 is 1690853994.

It is not a de Polignac number, because 4993580961 - 25 = 4993580929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4993580898 and 4993580907.

It is not an unprimeable number, because it can be changed into a prime (4993582961) 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, 190011 + ... + 214688.

It is an arithmetic number, because the mean of its divisors is an integer number (463381500).

Almost surely, 24993580961 is an apocalyptic number.

It is an amenable number.

4993580961 is a deficient number, since it is larger than the sum of its proper divisors (2420523039).

4993580961 is a wasteful number, since it uses less digits than its factorization.

4993580961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405165 (or 405159 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 4993580961 is about 70665.2740814044. The cubic root of 4993580961 is about 1709.2438731540.

The spelling of 4993580961 in words is "four billion, nine hundred ninety-three million, five hundred eighty thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 457 1371 4113 12339 404699 1214097 3642291 10926873 184947443 554842329 1664526987 4993580961