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112584355050 = 23523534994261
BaseRepresentation
bin110100011011010001…
…1001110110011101010
3101202121012022211000210
41220312203032303222
53321033043330200
6123415345241550
711063642141166
oct1506643166352
9352535284023
10112584355050
1143823a2a332
12199a03332b6
13a802a52a8b
145640511ca6
152ddde37650
hex1a368cecea

112584355050 has 96 divisors (see below), whose sum is σ = 280627128000. Its totient is φ = 29870438400.

The previous prime is 112584355027. The next prime is 112584355061. The reversal of 112584355050 is 50553485211.

112584355050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26419920 + ... + 26424180.

It is an arithmetic number, because the mean of its divisors is an integer number (2923199250).

Almost surely, 2112584355050 is an apocalyptic number.

112584355050 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 112584355050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140313564000).

112584355050 is an abundant number, since it is smaller than the sum of its proper divisors (168042772950).

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

112584355050 is a wasteful number, since it uses less digits than its factorization.

112584355050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 112584355050 in words is "one hundred twelve billion, five hundred eighty-four million, three hundred fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 353 499 706 998 1059 1497 1765 2118 2495 2994 3530 4261 4990 5295 7485 8522 8825 10590 12475 12783 14970 17650 21305 24950 25566 26475 37425 42610 52950 63915 74850 106525 127830 176147 213050 319575 352294 528441 639150 880735 1056882 1504133 1761470 2126239 2642205 3008266 4252478 4403675 4512399 5284410 6378717 7520665 8807350 9024798 10631195 12757434 13211025 15041330 21262390 22561995 26422050 31893585 37603325 45123990 53155975 63787170 75206650 106311950 112809975 159467925 225619950 318935850 750562367 1501124734 2251687101 3752811835 4503374202 7505623670 11258435505 18764059175 22516871010 37528118350 56292177525 112584355050