Base | Representation |
---|---|
bin | 1001101100001100111… |
… | …01000001100000000000 |
3 | 1011211110010110222220000 |
4 | 10312012131001200000 |
5 | 20423404332041211 |
6 | 412544040520000 |
7 | 33025156213500 |
oct | 4660635014000 |
9 | 1154403428800 |
10 | 332968237056 |
11 | 119235986804 |
12 | 54646480000 |
13 | 255251369a0 |
14 | 12189885a00 |
15 | 89dbba5656 |
hex | 4d86741800 |
332968237056 has 1440 divisors, whose sum is σ = 1309581393120. Its totient is φ = 83384598528.
The previous prime is 332968237037. The next prime is 332968237061. The reversal of 332968237056 is 650732869233.
It is a happy number.
It is a super-2 number, since 2×3329682370562 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 332968236993 and 332968237011.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2430425020 + ... + 2430425156.
It is an arithmetic number, because the mean of its divisors is an integer number (909431523).
Almost surely, 2332968237056 is an apocalyptic number.
332968237056 is a gapful number since it is divisible by the number (36) 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 332968237056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654790696560).
332968237056 is an abundant number, since it is smaller than the sum of its proper divisors (976613156064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332968237056 is a wasteful number, since it uses less digits than its factorization.
332968237056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 221 (or 185 counting only the distinct ones).
The product of its (nonzero) digits is 9797760, while the sum is 54.
The spelling of 332968237056 in words is "three hundred thirty-two billion, nine hundred sixty-eight million, two hundred thirty-seven thousand, fifty-six".
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