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2880106137 = 32331966803
BaseRepresentation
bin1010101110101010…
…1110111010011001
321102201102112212200
42223222232322121
521344301344022
61153442400413
7131241332616
oct25352567231
97381375780
102880106137
111248821407
12684660109
1336b8c6a1c
141d471750d
1511ccaebac
hexabaaee99

2880106137 has 12 divisors (see below), whose sum is σ = 4172726064. Its totient is φ = 1914267960.

The previous prime is 2880106043. The next prime is 2880106139. The reversal of 2880106137 is 7316010882.

2880106137 is a `hidden beast` number, since 28 + 8 + 0 + 10 + 613 + 7 = 666.

It is not a de Polignac number, because 2880106137 - 210 = 2880105113 is a prime.

It is a super-2 number, since 2×28801061372 = 16590022720770125538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2880106139) 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 11 ways as a sum of consecutive naturals, for example, 480423 + ... + 486380.

It is an arithmetic number, because the mean of its divisors is an integer number (347727172).

Almost surely, 22880106137 is an apocalyptic number.

It is an amenable number.

2880106137 is a deficient number, since it is larger than the sum of its proper divisors (1292619927).

2880106137 is a wasteful number, since it uses less digits than its factorization.

2880106137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967140 (or 967137 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2880106137 is about 53666.6203239966. The cubic root of 2880106137 is about 1422.7747992658.

The spelling of 2880106137 in words is "two billion, eight hundred eighty million, one hundred six thousand, one hundred thirty-seven".

Divisors: 1 3 9 331 993 2979 966803 2900409 8701227 320011793 960035379 2880106137