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2820098961 = 32685745697
BaseRepresentation
bin1010100000010111…
…0100101110010001
321021112111212111200
42220011310232101
521233421131321
61143500301413
7126612305601
oct25005645621
97245455450
102820098961
1112179660a9
12668541869
1335c346714
141ca776c01
151178a9d26
hexa8174b91

2820098961 has 12 divisors (see below), whose sum is σ = 4074159492. Its totient is φ = 1879750656.

The previous prime is 2820098909. The next prime is 2820098969. The reversal of 2820098961 is 1698900282.

It can be written as a sum of positive squares in 2 ways, for example, as 354380625 + 2465718336 = 18825^2 + 49656^2 .

It is not a de Polignac number, because 2820098961 - 217 = 2819967889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2820098969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38865 + ... + 84561.

It is an arithmetic number, because the mean of its divisors is an integer number (339513291).

Almost surely, 22820098961 is an apocalyptic number.

It is an amenable number.

2820098961 is a deficient number, since it is larger than the sum of its proper divisors (1254060531).

2820098961 is a wasteful number, since it uses less digits than its factorization.

2820098961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52560 (or 52557 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2820098961 is about 53104.6039529531. The cubic root of 2820098961 is about 1412.8241705233.

The spelling of 2820098961 in words is "two billion, eight hundred twenty million, ninety-eight thousand, nine hundred sixty-one".

Divisors: 1 3 9 6857 20571 45697 61713 137091 411273 313344329 940032987 2820098961