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2146382765 = 537109106441
BaseRepresentation
bin111111111101111…
…0011001110101101
312112120210112121222
41333323303032231
513343433222030
6552552233125
7104121644462
oct17773631655
95476715558
102146382765
11a0163915a
124ba99b7a5
132828aa997
141650c1669
15c867a3e5
hex7fef33ad

2146382765 has 16 divisors (see below), whose sum is σ = 2669565360. Its totient is φ = 1655354880.

The previous prime is 2146382761. The next prime is 2146382767. The reversal of 2146382765 is 5672836412.

It can be written as a sum of positive squares in 8 ways, for example, as 18774889 + 2127607876 = 4333^2 + 46126^2 .

It is not a de Polignac number, because 2146382765 - 22 = 2146382761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146382761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33056 + ... + 73385.

It is an arithmetic number, because the mean of its divisors is an integer number (166847835).

Almost surely, 22146382765 is an apocalyptic number.

It is an amenable number.

2146382765 is a deficient number, since it is larger than the sum of its proper divisors (523182595).

2146382765 is a wasteful number, since it uses less digits than its factorization.

2146382765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106592.

The product of its digits is 483840, while the sum is 44.

The square root of 2146382765 is about 46329.0704094093. The cubic root of 2146382765 is about 1289.9386556170.

The spelling of 2146382765 in words is "two billion, one hundred forty-six million, three hundred eighty-two thousand, seven hundred sixty-five".

Divisors: 1 5 37 109 185 545 4033 20165 106441 532205 3938317 11602069 19691585 58010345 429276553 2146382765