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11891225430 = 23257219141917
BaseRepresentation
bin10110001001100010…
…11011001101010110
31010200201102211200200
423010301123031112
5143323123203210
65243542121330
7600450514500
oct130461331526
933621384620
1011891225430
115052317737
12237a420246
13117676b186
1480b3c4d70
15498e360c0
hex2c4c5b356

11891225430 has 144 divisors (see below), whose sum is σ = 37858045680. Its totient is φ = 2574923904.

The previous prime is 11891225419. The next prime is 11891225443. The reversal of 11891225430 is 3452219811.

11891225430 is a `hidden beast` number, since 1 + 1 + 8 + 91 + 22 + 543 + 0 = 666.

11891225430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12832 + ... + 154748.

It is an arithmetic number, because the mean of its divisors is an integer number (262903095).

Almost surely, 211891225430 is an apocalyptic number.

11891225430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11891225430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929022840).

11891225430 is an abundant number, since it is smaller than the sum of its proper divisors (25966820250).

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

11891225430 is a wasteful number, since it uses less digits than its factorization.

11891225430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141963 (or 141953 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11891225430 in words is "eleven billion, eight hundred ninety-one million, two hundred twenty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 399 441 490 570 630 665 735 798 855 882 931 1197 1330 1470 1710 1862 1995 2205 2394 2793 3990 4410 4655 5586 5985 8379 9310 11970 13965 16758 27930 41895 83790 141917 283834 425751 709585 851502 993419 1277253 1419170 1986838 2128755 2554506 2696423 2980257 4257510 4967095 5392846 5960514 6386265 6953933 8089269 8940771 9934190 12772530 13482115 13907866 14901285 16178538 17881542 18874961 20861799 24267807 26964230 29802570 34769665 37749922 40446345 41723598 44703855 48535614 56624883 62585397 69539330 80892690 89407710 94374805 104308995 113249766 121339035 125170794 132124727 169874649 188749610 208617990 242678070 264249454 283124415 312926985 339749298 396374181 566248830 625853970 660623635 792748362 849373245 1189122543 1321247270 1698746490 1981870905 2378245086 3963741810 5945612715 11891225430