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11540425400 = 2352718474463
BaseRepresentation
bin10101011111101110…
…01110101010111000
31002210021100100111222
422233313032222320
5142113322103100
65145051211212
7555660666050
oct125767165270
932707310458
1011540425400
1149922a6459
1222a0a46b08
13111bb94aaa
147b698a560
15478240485
hex2afdceab8

11540425400 has 96 divisors (see below), whose sum is σ = 30688035840. Its totient is φ = 3953688960.

The previous prime is 11540425373. The next prime is 11540425423. The reversal of 11540425400 is 452404511.

It is a self number, because there is not a number n which added to its sum of digits gives 11540425400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2583569 + ... + 2588031.

It is an arithmetic number, because the mean of its divisors is an integer number (319667040).

Almost surely, 211540425400 is an apocalyptic number.

11540425400 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 11540425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344017920).

11540425400 is an abundant number, since it is smaller than the sum of its proper divisors (19147610440).

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

11540425400 is a wasteful number, since it uses less digits than its factorization.

11540425400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 11540425400 its reverse (452404511), we get a palindrome (11992829911).

The spelling of 11540425400 in words is "eleven billion, five hundred forty million, four hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1847 3694 4463 7388 8926 9235 12929 14776 17852 18470 22315 25858 31241 35704 36940 44630 46175 51716 62482 64645 73880 89260 92350 103432 111575 124964 129290 156205 178520 184700 223150 249928 258580 312410 323225 369400 446300 517160 624820 646450 781025 892600 1249640 1292900 1562050 2585800 3124100 6248200 8243161 16486322 32972644 41215805 57702127 65945288 82431610 115404254 164863220 206079025 230808508 288510635 329726440 412158050 461617016 577021270 824316100 1154042540 1442553175 1648632200 2308085080 2885106350 5770212700 11540425400