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31116670368 = 2537263176063
BaseRepresentation
bin11100111110101100…
…101011010110100000
32222022120111122010220
4130332230223112200
51002211331422433
622143402123040
72151046222410
oct347654532640
988276448126
1031116670368
1112218605003
126044ab0480
132c1b8317b4
141712886640
15c21ba42b3
hex73eb2b5a0

31116670368 has 96 divisors (see below), whose sum is σ = 93705486336. Its totient is φ = 8856622848.

The previous prime is 31116670363. The next prime is 31116670379. The reversal of 31116670368 is 86307661113.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (31116670363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88705 + ... + 264767.

It is an arithmetic number, because the mean of its divisors is an integer number (976098816).

Almost surely, 231116670368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31116670368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46852743168).

31116670368 is an abundant number, since it is smaller than the sum of its proper divisors (62588815968).

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

31116670368 is a wasteful number, since it uses less digits than its factorization.

31116670368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176346 (or 176338 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 31116670368 in words is "thirty-one billion, one hundred sixteen million, six hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 263 336 526 672 789 1052 1578 1841 2104 3156 3682 4208 5523 6312 7364 8416 11046 12624 14728 22092 25248 29456 44184 58912 88368 176063 176736 352126 528189 704252 1056378 1232441 1408504 2112756 2464882 2817008 3697323 4225512 4929764 5634016 7394646 8451024 9859528 14789292 16902048 19719056 29578584 39438112 46304569 59157168 92609138 118314336 138913707 185218276 277827414 324131983 370436552 555654828 648263966 740873104 972395949 1111309656 1296527932 1481746208 1944791898 2222619312 2593055864 3889583796 4445238624 5186111728 7779167592 10372223456 15558335184 31116670368