Search a number
-
+
36561540114 = 232112572692671
BaseRepresentation
bin100010000011001111…
…001101010000010010
310111101000222200021100
4202003033031100102
51044334223240424
624443544405230
72433012651261
oct420317152022
9114330880240
1036561540114
1114562044260
127104476816
1335a88b1c08
141aaba6c5d8
15e3ebd3dc9
hex8833cd412

36561540114 has 96 divisors (see below), whose sum is σ = 87109551360. Its totient is φ = 10991001600.

The previous prime is 36561540109. The next prime is 36561540131. The reversal of 36561540114 is 41104516563.

36561540114 is a `hidden beast` number, since 36 + 5 + 615 + 4 + 0 + 1 + 1 + 4 = 666.

It is a super-2 number, since 2×365615401142 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13686999 + ... + 13689669.

It is an arithmetic number, because the mean of its divisors is an integer number (907391160).

Almost surely, 236561540114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36561540114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43554775680).

36561540114 is an abundant number, since it is smaller than the sum of its proper divisors (50548011246).

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

36561540114 is a wasteful number, since it uses less digits than its factorization.

36561540114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 36561 and 540114, that added together give a palindrome (576675).

The spelling of 36561540114 in words is "thirty-six billion, five hundred sixty-one million, five hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 257 269 514 538 771 807 1542 1614 2313 2421 2671 2827 2959 4626 4842 5342 5654 5918 8013 8481 8877 16026 16962 17754 24039 25443 26631 29381 48078 50886 53262 58762 69133 88143 138266 176286 207399 264429 414798 528858 622197 686447 718499 760463 1244394 1372894 1436998 1520926 2059341 2155497 2281389 4118682 4310994 4562778 6178023 6466491 6844167 7550917 7903489 12356046 12932982 13688334 15101834 15806978 22652751 23710467 45305502 47420934 67958253 71131401 135916506 142262802 184654243 369308486 553962729 1107925458 1661888187 2031196673 3323776374 4062393346 6093590019 12187180038 18280770057 36561540114