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2136111450 = 2352115412393
BaseRepresentation
bin111111101010010…
…0111100101011010
312111212110201000220
41333110213211122
513333321031300
6551544140510
7103635435114
oct17724474532
95455421026
102136111450
119a6863170
124b7467736
13280722795
141639aa3b4
15c77ebda0
hex7f52795a

2136111450 has 96 divisors (see below), whose sum is σ = 5792254272. Its totient is φ = 516672000.

The previous prime is 2136111443. The next prime is 2136111503. The reversal of 2136111450 is 541116312.

It is a happy number.

It is a super-2 number, since 2×21361114502 = 9125944253642205000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2136111450.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 891454 + ... + 893846.

It is an arithmetic number, because the mean of its divisors is an integer number (60335982).

Almost surely, 22136111450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136111450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896127136).

2136111450 is an abundant number, since it is smaller than the sum of its proper divisors (3656142822).

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

2136111450 is a wasteful number, since it uses less digits than its factorization.

2136111450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2136111450 is about 46218.0857457338. The cubic root of 2136111450 is about 1287.8777375331.

Adding to 2136111450 its reverse (541116312), we get a palindrome (2677227762).

The spelling of 2136111450 in words is "two billion, one hundred thirty-six million, one hundred eleven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 541 550 825 1082 1623 1650 2393 2705 3246 4786 5410 5951 7179 8115 11902 11965 13525 14358 16230 17853 23930 26323 27050 29755 35706 35895 40575 52646 59510 59825 71790 78969 81150 89265 119650 131615 148775 157938 178530 179475 263230 297550 358950 394845 446325 658075 789690 892650 1294613 1316150 1974225 2589226 3883839 3948450 6473065 7767678 12946130 14240743 19419195 28481486 32365325 38838390 42722229 64730650 71203715 85444458 97095975 142407430 194191950 213611145 356018575 427222290 712037150 1068055725 2136111450