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12393119880 = 233453899833
BaseRepresentation
bin10111000101011000…
…00000000010001000
31011222200211201110000
423202230000002020
5200340114314010
65405431323000
7616053531561
oct134254000210
934880751400
1012393119880
11528a658439
12249a520460
13122673763b
14857d11168
154c80257c0
hex2e2b00088

12393119880 has 160 divisors (see below), whose sum is σ = 41765981400. Its totient is φ = 3296001024.

The previous prime is 12393119813. The next prime is 12393119881. The reversal of 12393119880 is 8891139321.

It can be written as a sum of positive squares in 4 ways, for example, as 8530000164 + 3863119716 = 92358^2 + 62154^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12393119881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1255444 + ... + 1265276.

Almost surely, 212393119880 is an apocalyptic number.

12393119880 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 12393119880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20882990700).

12393119880 is an abundant number, since it is smaller than the sum of its proper divisors (29372861520).

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

12393119880 is a wasteful number, since it uses less digits than its factorization.

12393119880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245 (or 10232 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12393119880 in words is "twelve billion, three hundred ninety-three million, one hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 389 405 540 648 778 810 1080 1167 1556 1620 1945 2334 3112 3240 3501 3890 4668 5835 7002 7780 9336 9833 10503 11670 14004 15560 17505 19666 21006 23340 28008 29499 31509 35010 39332 42012 46680 49165 52515 58998 63018 70020 78664 84024 88497 98330 105030 117996 126036 140040 147495 157545 176994 196660 210060 235992 252072 265491 294990 315090 353988 393320 420120 442485 530982 589980 630180 707976 796473 884970 1061964 1179960 1260360 1327455 1592946 1769940 2123928 2654910 3185892 3539880 3825037 3982365 5309820 6371784 7650074 7964730 10619640 11475111 15300148 15929460 19125185 22950222 30600296 31858920 34425333 38250370 45900444 57375555 68850666 76500740 91800888 103275999 114751110 137701332 153001480 172126665 206551998 229502220 275402664 309827997 344253330 413103996 459004440 516379995 619655994 688506660 826207992 1032759990 1239311988 1377013320 1549139985 2065519980 2478623976 3098279970 4131039960 6196559940 12393119880