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29931013992 = 23311289115807
BaseRepresentation
bin11011111000000001…
…110000011101101000
32212020221111001100210
4123320001300131220
5442244314421432
621430005301120
72106501264315
oct337001603550
985227431323
1029931013992
111176a305900
125973a047a0
132a8ccbcc89
14163d20bd0c
15ba2a4d8cc
hex6f8070768

29931013992 has 96 divisors (see below), whose sum is σ = 83173305600. Its totient is φ = 8968016640.

The previous prime is 29931013991. The next prime is 29931014027.

29931013992 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (29931013991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200553 + ... + 316359.

It is an arithmetic number, because the mean of its divisors is an integer number (866388600).

Almost surely, 229931013992 is an apocalyptic number.

29931013992 is a gapful number since it is divisible by the number (22) 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 29931013992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41586652800).

29931013992 is an abundant number, since it is smaller than the sum of its proper divisors (53242291608).

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

29931013992 is a wasteful number, since it uses less digits than its factorization.

29931013992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115927 (or 115912 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 48.

The spelling of 29931013992 in words is "twenty-nine billion, nine hundred thirty-one million, thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 121 132 178 242 264 267 356 363 484 534 712 726 968 979 1068 1452 1958 2136 2904 2937 3916 5874 7832 10769 11748 21538 23496 32307 43076 64614 86152 115807 129228 231614 258456 347421 463228 694842 926456 1273877 1389684 2547754 2779368 3821631 5095508 7643262 10191016 10306823 14012647 15286524 20613646 28025294 30573048 30920469 41227292 42037941 56050588 61840938 82454584 84075882 112101176 113375053 123681876 168151764 226750106 247363752 336303528 340125159 453500212 680250318 907000424 1247125583 1360500636 2494251166 2721001272 3741376749 4988502332 7482753498 9977004664 14965506996 29931013992