Search a number
-
+
11325443535400 = 2352432335651983
BaseRepresentation
bin1010010011001110100100…
…0010011111001000101000
31111002200221122002020001111
42210303221002133020220
52441024002021113100
640030500440000104
72246144022453331
oct244635102371050
944080848066044
1011325443535400
113677103692a15
12132ab44160034
13641ca5631547
142b2223919288
1514990294d6ba
hexa4ce909f228

11325443535400 has 96 divisors (see below), whose sum is σ = 27059664677760. Its totient is φ = 4405833008640.

The previous prime is 11325443535383. The next prime is 11325443535407. The reversal of 11325443535400 is 453534452311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11325443535407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822192 + ... + 4829791.

It is an arithmetic number, because the mean of its divisors is an integer number (281871507060).

Almost surely, 211325443535400 is an apocalyptic number.

11325443535400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11325443535400 is an abundant number, since it is smaller than the sum of its proper divisors (15734221142360).

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

11325443535400 is a wasteful number, since it uses less digits than its factorization.

11325443535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652275 (or 5652266 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 11325443535400 its reverse (453534452311), we get a palindrome (11778977987711).

The spelling of 11325443535400 in words is "eleven trillion, three hundred twenty-five billion, four hundred forty-three million, five hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 233 344 430 466 860 932 1075 1165 1720 1864 2150 2330 4300 4660 5825 8600 9320 10019 11650 20038 23300 40076 46600 50095 80152 100190 200380 250475 400760 500950 1001900 2003800 5651983 11303966 22607932 28259915 45215864 56519830 113039660 141299575 226079320 243035269 282599150 486070538 565198300 972141076 1130396600 1215176345 1316912039 1944282152 2430352690 2633824078 4860705380 5267648156 6075881725 6584560195 9721410760 10535296312 12151763450 13169120390 24303526900 26338240780 32922800975 48607053800 52676481560 56627217677 65845601950 113254435354 131691203900 226508870708 263382407800 283136088385 453017741416 566272176770 1132544353540 1415680441925 2265088707080 2831360883850 5662721767700 11325443535400