Base | Representation |
---|---|
bin | 1000000111111100101… |
… | …1111110101001000000 |
3 | 111100021001211212121100 |
4 | 2001333023332221000 |
5 | 4241321114100224 |
6 | 144041401254400 |
7 | 13040513140305 |
oct | 2017713765100 |
9 | 440231755540 |
10 | 139572800064 |
11 | 54213230545 |
12 | 23072794400 |
13 | 10214219079 |
14 | 6a809c70ac |
15 | 396d488ac9 |
hex | 207f2fea40 |
139572800064 has 84 divisors (see below), whose sum is σ = 400792507024. Its totient is φ = 46439108352.
The previous prime is 139572800047. The next prime is 139572800089. The reversal of 139572800064 is 460008275931.
139572800064 is a `hidden beast` number, since 13 + 9 + 572 + 8 + 0 + 0 + 0 + 64 = 666.
139572800064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 139572799992 and 139572800019.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 93579 + ... + 536565.
It is a 1-persistent number, because it is pandigital, but 2⋅139572800064 = 279145600128 is not.
Almost surely, 2139572800064 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 139572800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200396253512).
139572800064 is an abundant number, since it is smaller than the sum of its proper divisors (261219706960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
139572800064 is a wasteful number, since it uses less digits than its factorization.
139572800064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 443552 (or 443539 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 139572800064 in words is "one hundred thirty-nine billion, five hundred seventy-two million, eight hundred thousand, sixty-four".
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