Search a number
-
+
11616115040 = 2552310131253
BaseRepresentation
bin10101101000101111…
…11101100101100000
31002222112202210011222
422310113331211200
5142242211140130
65200353354212
7560600230415
oct126427754540
932875683158
1011616115040
114a20aa3182
122302268968
13113177626a
147c2a5010c
1547ebe1ce5
hex2b45fd960

11616115040 has 96 divisors (see below), whose sum is σ = 28920701376. Its totient is φ = 4400281600.

The previous prime is 11616115009. The next prime is 11616115081. The reversal of 11616115040 is 4051161611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356054 + ... + 387306.

It is an arithmetic number, because the mean of its divisors is an integer number (301257306).

Almost surely, 211616115040 is an apocalyptic number.

11616115040 is a gapful number since it is divisible by the number (10) 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 11616115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14460350688).

11616115040 is an abundant number, since it is smaller than the sum of its proper divisors (17304586336).

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

11616115040 is a wasteful number, since it uses less digits than its factorization.

11616115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31392 (or 31384 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

Adding to 11616115040 its reverse (4051161611), we get a palindrome (15667276651).

The spelling of 11616115040 in words is "eleven billion, six hundred sixteen million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 101 115 160 184 202 230 368 404 460 505 736 808 920 1010 1616 1840 2020 2323 3232 3680 4040 4646 8080 9292 11615 16160 18584 23230 31253 37168 46460 62506 74336 92920 125012 156265 185840 250024 312530 371680 500048 625060 718819 1000096 1250120 1437638 2500240 2875276 3156553 3594095 5000480 5750552 6313106 7188190 11501104 12626212 14376380 15782765 23002208 25252424 28752760 31565530 50504848 57505520 63131060 72600719 101009696 115011040 126262120 145201438 252524240 290402876 363003595 505048480 580805752 726007190 1161611504 1452014380 2323223008 2904028760 5808057520 11616115040