Search a number
-
+
11805198288 = 24313314991223
BaseRepresentation
bin10101111111010010…
…10000011111010000
31010110201120012122020
422333221100133100
5143134112321123
65231230211440
7565354346502
oct127751203720
933421505566
1011805198288
1150087aa224
122355653b80
1311619aa640
147ddbcdd72
154915e17e3
hex2bfa507d0

11805198288 has 160 divisors (see below), whose sum is σ = 33997824000. Its totient is φ = 3505282560.

The previous prime is 11805198269. The next prime is 11805198341. The reversal of 11805198288 is 88289150811.

It is a self number, because there is not a number n which added to its sum of digits gives 11805198288.

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, 9652045 + ... + 9653267.

It is an arithmetic number, because the mean of its divisors is an integer number (212486400).

Almost surely, 211805198288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11805198288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998912000).

11805198288 is an abundant number, since it is smaller than the sum of its proper divisors (22192625712).

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

11805198288 is a wasteful number, since it uses less digits than its factorization.

11805198288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 51.

The spelling of 11805198288 in words is "eleven billion, eight hundred five million, one hundred ninety-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 499 624 744 806 998 1209 1223 1488 1497 1612 1996 2418 2446 2994 3224 3669 3992 4836 4892 5988 6448 6487 7338 7984 9672 9784 11976 12974 14676 15469 15899 19344 19461 19568 23952 25948 29352 30938 31798 37913 38922 46407 47697 51896 58704 61876 63596 75826 77844 92814 95394 103792 113739 123752 127192 151652 155688 185628 190788 201097 227478 247504 254384 303304 311376 371256 381576 402194 454956 492869 603291 606608 610277 742512 763152 804388 909912 985738 1206582 1220554 1478607 1608776 1819824 1830831 1971476 2413164 2441108 2957214 3217552 3661662 3942952 4826328 4882216 5914428 7323324 7885904 7933601 9652656 9764432 11828856 14646648 15867202 18918587 23657712 23800803 29293296 31734404 37837174 47601606 56755761 63468808 75674348 95203212 113511522 126937616 151348696 190406424 227023044 245941631 302697392 380812848 454046088 491883262 737824893 908092176 983766524 1475649786 1967533048 2951299572 3935066096 5902599144 11805198288