Search a number
-
+
31530198912 = 273479191901
BaseRepresentation
bin11101010111010110…
…001010011110000000
310000101101122001122220
4131113112022132000
51004033212331122
622252413331040
72164230161112
oct352726123600
9100341561586
1031530198912
111240aa80133
12613b496a80
132c863cba44
14175176d3b2
15c4813b25c
hex75758a780

31530198912 has 128 divisors (see below), whose sum is σ = 85672166400. Its totient is φ = 10269849600.

The previous prime is 31530198893. The next prime is 31530198913. The reversal of 31530198912 is 21989103513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31530198913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16585162 + ... + 16587062.

It is an arithmetic number, because the mean of its divisors is an integer number (669313800).

Almost surely, 231530198912 is an apocalyptic number.

31530198912 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 31530198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42836083200).

31530198912 is an abundant number, since it is smaller than the sum of its proper divisors (54141967488).

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

31530198912 is a wasteful number, since it uses less digits than its factorization.

31530198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 31530198912 in words is "thirty-one billion, five hundred thirty million, one hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 919 1128 1504 1838 1901 2256 2757 3008 3676 3802 4512 5514 5703 6016 7352 7604 9024 11028 11406 14704 15208 18048 22056 22812 29408 30416 43193 44112 45624 58816 60832 86386 88224 89347 91248 117632 121664 129579 172772 176448 178694 182496 243328 259158 268041 345544 352896 357388 364992 518316 536082 691088 714776 729984 1036632 1072164 1382176 1429552 1747019 2073264 2144328 2764352 2859104 3494038 4146528 4288656 5241057 5528704 5718208 6988076 8293056 8577312 10482114 11436416 13976152 16586112 17154624 20964228 27952304 34309248 41928456 55904608 82109893 83856912 111809216 164219786 167713824 223618432 246329679 328439572 335427648 492659358 656879144 670855296 985318716 1313758288 1970637432 2627516576 3941274864 5255033152 7882549728 10510066304 15765099456 31530198912