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31485818112 = 283731188927
BaseRepresentation
bin11101010100101100…
…110111010100000000
310000021022010021122120
4131110230313110000
51003440332134422
622244150204240
72163151016040
oct352454672400
9100238107576
1031485818112
1112397a18191
126128653680
132c7a160208
1417498d9720
15c442c145c
hex754b37500

31485818112 has 144 divisors (see below), whose sum is σ = 98859220992. Its totient is φ = 8705710080.

The previous prime is 31485818071. The next prime is 31485818129. The reversal of 31485818112 is 21181858413.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72193 + ... + 261119.

It is an arithmetic number, because the mean of its divisors is an integer number (686522368).

Almost surely, 231485818112 is an apocalyptic number.

31485818112 is a gapful number since it is divisible by the number (32) 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 31485818112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49429610496).

31485818112 is an abundant number, since it is smaller than the sum of its proper divisors (67373402880).

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

31485818112 is a wasteful number, since it uses less digits than its factorization.

31485818112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188984 (or 188970 counting only the distinct ones).

The product of its digits is 61440, while the sum is 42.

The spelling of 31485818112 in words is "thirty-one billion, four hundred eighty-five million, eight hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13888 20832 23808 27776 41664 55552 83328 166656 188927 377854 566781 755708 1133562 1322489 1511416 2267124 2644978 3022832 3967467 4534248 5289956 5856737 6045664 7934934 9068496 10579912 11713474 12091328 15869868 17570211 18136992 21159824 23426948 24182656 31739736 35140422 36273984 40997159 42319648 46853896 48365312 63479472 70280844 72547968 81994318 84639296 93707792 122991477 126958944 140561688 145095936 163988636 169278592 187415584 245982954 253917888 281123376 327977272 338557184 374831168 491965908 507835776 562246752 655954544 749662336 983931816 1015671552 1124493504 1311909088 1499324672 1967863632 2248987008 2623818176 3935727264 4497974016 5247636352 7871454528 10495272704 15742909056 31485818112