Search a number
-
+
27730238536 = 237111312832699
BaseRepresentation
bin11001110100110110…
…011101110001001000
32122120120100001222201
4121310312131301020
5423242420113121
620423351125544
72001116065330
oct316466356110
978516301881
1027730238536
111083aaa6710
12545a9738b4
1327cc079690
1414b0c0c0c0
15ac472be91
hex674d9dc48

27730238536 has 128 divisors (see below), whose sum is σ = 69890688000. Its totient is φ = 9961447680.

The previous prime is 27730238531. The next prime is 27730238573. The reversal of 27730238536 is 63583203772.

It is a super-2 number, since 2×277302385362 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27730238531) 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, 10272915 + ... + 10275613.

It is an arithmetic number, because the mean of its divisors is an integer number (546021000).

Almost surely, 227730238536 is an apocalyptic number.

27730238536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27730238536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34945344000).

27730238536 is an abundant number, since it is smaller than the sum of its proper divisors (42160449464).

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

27730238536 is a wasteful number, since it uses less digits than its factorization.

27730238536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 27730238536 in words is "twenty-seven billion, seven hundred thirty million, two hundred thirty-eight thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 1283 2002 2566 2699 4004 5132 5398 8008 8981 10264 10796 14113 16679 17962 18893 21592 28226 29689 33358 35087 35924 37786 56452 59378 66716 70174 71848 75572 98791 112904 116753 118756 133432 140348 151144 183469 197582 207823 233506 237512 245609 280696 366938 385957 395164 415646 467012 491218 733876 771914 790328 831292 934024 982436 1284283 1467752 1543828 1662584 1964872 2568566 2701699 3087656 3462817 5137132 5403398 6925634 10274264 10806796 13851268 21613592 24239719 27702536 38090987 45016621 48479438 76181974 90033242 96958876 152363948 180066484 193917752 266636909 304727896 315116347 360132968 495182831 533273818 630232694 990365662 1066547636 1260465388 1980731324 2133095272 2520930776 3466279817 3961462648 6932559634 13865119268 27730238536