Search a number
-
+
10235500184 = 23713194317209
BaseRepresentation
bin10011000100001010…
…10101011010011000
3222102022220021122102
421202011111122120
5131430242001214
64411354142532
7511434213260
oct114205253230
928368807572
1010235500184
114382744868
121b97a21a48
13c717240b0
146d15467a0
153ed8cabde
hex262155698

10235500184 has 128 divisors (see below), whose sum is σ = 25443264000. Its totient is φ = 3746663424.

The previous prime is 10235500151. The next prime is 10235500189. The reversal of 10235500184 is 48100553201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10235500189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586172 + ... + 603380.

It is an arithmetic number, because the mean of its divisors is an integer number (198775500).

Almost surely, 210235500184 is an apocalyptic number.

10235500184 is a gapful number since it is divisible by the number (14) 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 10235500184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12721632000).

10235500184 is an abundant number, since it is smaller than the sum of its proper divisors (15207763816).

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

10235500184 is a wasteful number, since it uses less digits than its factorization.

10235500184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17297 (or 17293 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 10235500184 in words is "ten billion, two hundred thirty-five million, five hundred thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 43 52 56 76 86 91 104 133 152 172 182 247 266 301 344 364 494 532 559 602 728 817 988 1064 1118 1204 1634 1729 1976 2236 2408 3268 3458 3913 4472 5719 6536 6916 7826 10621 11438 13832 15652 17209 21242 22876 31304 34418 42484 45752 68836 74347 84968 120463 137672 148694 223717 240926 297388 326971 447434 481852 594776 653942 739987 894868 963704 1307884 1479974 1566019 1789736 2288797 2615768 2959948 3132038 4250623 4577594 5179909 5919896 6264076 8501246 9155188 9619831 10359818 12528152 14059753 17002492 18310376 19239662 20719636 28119506 29754361 34004984 38479324 41439272 56239012 59508722 67338817 76958648 98418271 112478024 119017444 134677634 182776789 196836542 238034888 269355268 365553578 393673084 538710536 731107156 787346168 1279437523 1462214312 2558875046 5117750092 10235500184