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2137280769 = 331315493931
BaseRepresentation
bin111111101100100…
…0101000100000001
312111221200010001000
41333121011010001
513334120441034
6552025202213
7103651405161
oct17731050401
95457603030
102137280769
119a7491748
124b7930369
13280a41aa0
14163bd25a1
15c797d599
hex7f645101

2137280769 has 32 divisors (see below), whose sum is σ = 3412976000. Its totient is φ = 1314066240.

The previous prime is 2137280767. The next prime is 2137280779. The reversal of 2137280769 is 9670827312.

It is not a de Polignac number, because 2137280769 - 21 = 2137280767 is a prime.

It is a super-2 number, since 2×21372807692 = 9135938171074462722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2137280767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541734 + ... + 545664.

It is an arithmetic number, because the mean of its divisors is an integer number (106655500).

Almost surely, 22137280769 is an apocalyptic number.

It is an amenable number.

2137280769 is a deficient number, since it is larger than the sum of its proper divisors (1275695231).

2137280769 is a wasteful number, since it uses less digits than its factorization.

2137280769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2137280769 is about 46230.7340305126. The cubic root of 2137280769 is about 1288.1126917541.

The spelling of 2137280769 in words is "two billion, one hundred thirty-seven million, two hundred eighty thousand, seven hundred sixty-nine".

Divisors: 1 3 9 13 27 39 117 351 1549 3931 4647 11793 13941 20137 35379 41823 51103 60411 106137 153309 181233 459927 543699 1379781 6089119 18267357 54802071 79158547 164406213 237475641 712426923 2137280769