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3113565056550 = 23252135011106213
BaseRepresentation
bin101101010011101110111…
…100000110111000100110
3102000122122200221220000200
4231103232330012320212
5402003040123302200
610342204012451330
7440643021211314
oct55235674067046
912018580856020
103113565056550
11aa0501338613
1242351a779b46
131977b97c3b10
14aa9a97710b4
1555ece7e9800
hex2d4eef06e26

3113565056550 has 144 divisors (see below), whose sum is σ = 9010464157968. Its totient is φ = 766255852800.

The previous prime is 3113565056531. The next prime is 3113565056557. The reversal of 3113565056550 is 556505653113.

3113565056550 is a `hidden beast` number, since 3 + 1 + 1 + 35 + 6 + 5 + 0 + 565 + 50 = 666.

It is a super-2 number, since 2×31135650565502 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3113565056496 and 3113565056505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113565056557) 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 71 ways as a sum of consecutive naturals, for example, 29261244 + ... + 29367456.

Almost surely, 23113565056550 is an apocalyptic number.

3113565056550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113565056550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505232078984).

3113565056550 is an abundant number, since it is smaller than the sum of its proper divisors (5896899101418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3113565056550 is a wasteful number, since it uses less digits than its factorization.

3113565056550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111255 (or 111247 counting only the distinct ones).

The product of its (nonzero) digits is 1012500, while the sum is 45.

The spelling of 3113565056550 in words is "three trillion, one hundred thirteen billion, five hundred sixty-five million, fifty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5011 5850 10022 15033 25055 30066 45099 50110 65143 75165 90198 106213 125275 130286 150330 195429 212426 225495 250550 318639 325715 375825 390858 450990 531065 586287 637278 651430 751650 955917 977145 1062130 1127475 1172574 1380769 1593195 1628575 1911834 1954290 2254950 2655325 2761538 2931435 3186390 3257150 4142307 4779585 4885725 5310650 5862870 6903845 7965975 8284614 9559170 9771450 12426921 13807690 14657175 15931950 20711535 23897925 24853842 29314350 34519225 41423070 47795850 62134605 69038450 103557675 124269210 207115350 310673025 532233343 621346050 1064466686 1596700029 2661166715 3193400058 4790100087 5322333430 6919033459 7983500145 9580200174 13305833575 13838066918 15967000290 20757100377 23950500435 26611667150 34595167295 39917500725 41514200754 47901000870 62271301131 69190334590 79835001450 103785501885 119752502175 124542602262 172975836475 207571003770 239505004350 311356505655 345951672950 518927509425 622713011310 1037855018850 1556782528275 3113565056550