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2120753761 = 72195938609
BaseRepresentation
bin111111001101000…
…0010001001100001
312110210120110020121
41332122002021201
513320403110021
6550235040241
7103361052400
oct17632021141
95423513217
102120753761
11999123765
124b22a0081
1327a4a63a9
1416192d637
15c62b6741
hex7e682261

2120753761 has 24 divisors (see below), whose sum is σ = 2640924000. Its totient is φ = 1692883584.

The previous prime is 2120753759. The next prime is 2120753773. The reversal of 2120753761 is 1673570212.

It is not a de Polignac number, because 2120753761 - 21 = 2120753759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2120753711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35625 + ... + 74233.

It is an arithmetic number, because the mean of its divisors is an integer number (110038500).

Almost surely, 22120753761 is an apocalyptic number.

It is an amenable number.

2120753761 is a deficient number, since it is larger than the sum of its proper divisors (520170239).

2120753761 is a wasteful number, since it uses less digits than its factorization.

2120753761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38701 (or 38694 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 2120753761 is about 46051.6423268487. The cubic root of 2120753761 is about 1284.7838889241.

The spelling of 2120753761 in words is "two billion, one hundred twenty million, seven hundred fifty-three thousand, seven hundred sixty-one".

Divisors: 1 7 19 49 59 133 413 931 1121 2891 7847 38609 54929 270263 733571 1891841 2277931 5134997 15945517 35944979 43280689 111618619 302964823 2120753761