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11924423232 = 263232993113
BaseRepresentation
bin10110001101100000…
…00100001001000000
31010210000220110111220
423012300010021000
5143410123020412
65251125435040
7601332632211
oct130660041100
933700813456
1011924423232
11506a031737
12238956ba80
1311805c2847
14811987408
1549bce268c
hex2c6c04240

11924423232 has 112 divisors (see below), whose sum is σ = 34057376640. Its totient is φ = 3670847488.

The previous prime is 11924423227. The next prime is 11924423239. The reversal of 11924423232 is 23232442911.

It is a super-2 number, since 2×119244232322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11924423193 and 11924423202.

It is not an unprimeable number, because it can be changed into a prime (11924423239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81508 + ... + 174620.

It is an arithmetic number, because the mean of its divisors is an integer number (304083720).

Almost surely, 211924423232 is an apocalyptic number.

11924423232 is a gapful number since it is divisible by the number (12) 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 11924423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028688320).

11924423232 is an abundant number, since it is smaller than the sum of its proper divisors (22132953408).

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

11924423232 is a wasteful number, since it uses less digits than its factorization.

11924423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93180 (or 93170 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The spelling of 11924423232 in words is "eleven billion, nine hundred twenty-four million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 138 174 184 192 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 1472 1856 2001 2208 2668 2784 4002 4416 5336 5568 8004 10672 16008 21344 32016 42688 64032 93113 128064 186226 279339 372452 558678 744904 1117356 1489808 2141599 2234712 2700277 2979616 4283198 4469424 5400554 5959232 6424797 8100831 8566396 8938848 10801108 12849594 16201662 17132792 17877696 21602216 25699188 32403324 34265584 43204432 51398376 62106371 64806648 68531168 86408864 102796752 124212742 129613296 137062336 172817728 186319113 205593504 248425484 259226592 372638226 411187008 496850968 518453184 745276452 993701936 1490552904 1987403872 2981105808 3974807744 5962211616 11924423232