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11263506740 = 2251771547853
BaseRepresentation
bin10100111110101101…
…10111100100110100
31002001222021102112022
422133112313210310
5141031424203430
65101400012312
7546056141033
oct123726674464
932058242468
1011263506740
11485aa57362
122224161098
1310a66b8ab5
1478bca471a
1545dc904e5
hex29f5b7934

11263506740 has 96 divisors (see below), whose sum is σ = 25473740544. Its totient is φ = 4168120320.

The previous prime is 11263506719. The next prime is 11263506781. The reversal of 11263506740 is 4760536211.

It is a self number, because there is not a number n which added to its sum of digits gives 11263506740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13204154 + ... + 13205006.

It is an arithmetic number, because the mean of its divisors is an integer number (265351464).

Almost surely, 211263506740 is an apocalyptic number.

11263506740 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 11263506740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736870272).

11263506740 is an abundant number, since it is smaller than the sum of its proper divisors (14210233804).

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

11263506740 is a wasteful number, since it uses less digits than its factorization.

11263506740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 11263506740 in words is "eleven billion, two hundred sixty-three million, five hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 547 710 853 1094 1207 1420 1706 2188 2414 2735 3412 4265 4828 5470 6035 8530 9299 10940 12070 14501 17060 18598 24140 29002 37196 38837 46495 58004 60563 72505 77674 92990 121126 145010 155348 185980 194185 242252 290020 302815 388370 466591 605630 660229 776740 933182 1029571 1211260 1320458 1866364 2059142 2332955 2640916 3301145 4118284 4665910 5147855 6602290 7932047 9331820 10295710 13204580 15864094 20591420 31728188 33127961 39660235 66255922 79320470 132511844 158640940 165639805 331279610 563175337 662559220 1126350674 2252701348 2815876685 5631753370 11263506740