Search a number
-
+
11480839380750 = 235319805672939
BaseRepresentation
bin1010011100010001011101…
…0110100101111100001110
31111122120001102210002020010
42213010113112211330032
53001100224340141000
640230120320134050
72263314621401205
oct247042726457416
944576042702203
1011480839380750
113726aa6586593
121355091a67326
1365383ba57aac
142b9965b7023c
1514d99a0c6d50
hexa71175a5f0e

11480839380750 has 64 divisors (see below), whose sum is σ = 30164394873600. Its totient is φ = 2900422576800.

The previous prime is 11480839380719. The next prime is 11480839380757. The reversal of 11480839380750 is 5708393808411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11480839380757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402822220 + ... + 402850719.

It is an arithmetic number, because the mean of its divisors is an integer number (471318669900).

Almost surely, 211480839380750 is an apocalyptic number.

11480839380750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11480839380750 is an abundant number, since it is smaller than the sum of its proper divisors (18683555492850).

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

11480839380750 is a wasteful number, since it uses less digits than its factorization.

11480839380750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805672978 (or 805672968 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 11480839380750 in words is "eleven trillion, four hundred eighty billion, eight hundred thirty-nine million, three hundred eighty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 125 150 190 250 285 375 475 570 750 950 1425 2375 2850 4750 7125 14250 805672939 1611345878 2417018817 4028364695 4834037634 8056729390 12085094085 15307785841 20141823475 24170188170 30615571682 40283646950 45923357523 60425470425 76538929205 91846715046 100709117375 120850940850 153077858410 201418234750 229616787615 302127352125 382694646025 459233575230 604254704250 765389292050 1148083938075 1913473230125 2296167876150 3826946460250 5740419690375 11480839380750