Search a number
-
+
2345195832265 = 51113717328669
BaseRepresentation
bin100010001000001000100…
…100001000001111001001
322022012100201201001010201
4202020020210020033021
5301410430113113030
64553211301412201
7331302065444266
oct42101044101711
98265321631121
102345195832265
118246569a9880
1231a62140a061
131401c6a2c3a0
148171827a26d
154100d3ae2ca
hex222089083c9

2345195832265 has 96 divisors (see below), whose sum is σ = 3399750869760. Its totient is φ = 1530782668800.

The previous prime is 2345195832263. The next prime is 2345195832361. The reversal of 2345195832265 is 5622385915432.

It is not a de Polignac number, because 2345195832265 - 21 = 2345195832263 is a prime.

It is a super-3 number, since 3×23451958322653 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (2345195832263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270522351 + ... + 270531019.

It is an arithmetic number, because the mean of its divisors is an integer number (35414071560).

Almost surely, 22345195832265 is an apocalyptic number.

It is an amenable number.

2345195832265 is a deficient number, since it is larger than the sum of its proper divisors (1054555037495).

2345195832265 is a wasteful number, since it uses less digits than its factorization.

2345195832265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8915 (or 8842 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 55.

The spelling of 2345195832265 in words is "two trillion, three hundred forty-five billion, one hundred ninety-five million, eight hundred thirty-two thousand, two hundred sixty-five".

Divisors: 1 5 11 13 55 65 71 73 143 355 365 715 781 803 923 949 3905 4015 4615 4745 5183 5329 8669 10153 10439 25915 26645 43345 50765 52195 57013 58619 67379 69277 95359 112697 285065 293095 336895 346385 378359 476795 563485 615499 632837 741169 762047 1239667 1891795 3077495 3164185 3705845 3810235 4161949 4918667 6198335 6770489 6961207 8001487 8226881 20809745 24593335 33852445 34806035 40007435 41134405 44931427 46197101 54105337 88016357 90495691 224657135 230985505 270526685 440081785 452478455 494245697 508168111 584108551 600562313 2471228485 2540840555 2920542755 3002811565 3279994171 6425194061 6606185443 16399970855 32125970305 33030927215 36079935881 42639924223 180399679405 213199621115 469039166453 2345195832265