Base | Representation |
---|---|
bin | 11110001011000011… |
… | …100101000000000000 |
3 | 10002121212001211011100 |
4 | 132023003211000000 |
5 | 1012322310221310 |
6 | 22514444014400 |
7 | 2224563156354 |
oct | 361303450000 |
9 | 102555054140 |
10 | 32397742080 |
11 | 12815754160 |
12 | 6341b31400 |
13 | 30940700b2 |
14 | 17d4a7b464 |
15 | c993a5ec0 |
hex | 78b0e5000 |
32397742080 has 936 divisors, whose sum is σ = 133555237920. Its totient is φ = 7184056320.
The previous prime is 32397742031. The next prime is 32397742081. The reversal of 32397742080 is 8024779323.
It is a super-2 number, since 2×323977420802 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (32397742081) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1117163506 + ... + 1117163534.
It is an arithmetic number, because the mean of its divisors is an integer number (142687220).
Almost surely, 232397742080 is an apocalyptic number.
32397742080 is a gapful number since it is divisible by the number (30) 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 32397742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66777618960).
32397742080 is an abundant number, since it is smaller than the sum of its proper divisors (101157495840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32397742080 is a wasteful number, since it uses less digits than its factorization.
32397742080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 123 (or 69 counting only the distinct ones).
The product of its (nonzero) digits is 508032, while the sum is 45.
It can be divided in two parts, 32397 and 742080, that added together give a palindrome (774477).
The spelling of 32397742080 in words is "thirty-two billion, three hundred ninety-seven million, seven hundred forty-two thousand, eighty".
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