Base | Representation |
---|---|
bin | 100001111000000111… |
… | …011100100010000000 |
3 | 10110220000220020012112 |
4 | 201320013130202000 |
5 | 1043443442044120 |
6 | 24413241314452 |
7 | 2425256011604 |
oct | 417007344200 |
9 | 113800806175 |
10 | 36374956160 |
11 | 14476794a44 |
12 | 7071a95a28 |
13 | 35790442ca |
14 | 1a90d7d504 |
15 | e2d629bc5 |
hex | 8781dc880 |
36374956160 has 64 divisors (see below), whose sum is σ = 87043383000. Its totient is φ = 14535843840.
The previous prime is 36374956153. The next prime is 36374956169. The reversal of 36374956160 is 6165947363.
It can be written as a sum of positive squares in 4 ways, for example, as 25275912256 + 11099043904 = 158984^2 + 105352^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 36374956099 and 36374956108.
It is not an unprimeable number, because it can be changed into a prime (36374956169) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 644270 + ... + 698450.
Almost surely, 236374956160 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 36374956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43521691500).
36374956160 is an abundant number, since it is smaller than the sum of its proper divisors (50668426840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36374956160 is a wasteful number, since it uses less digits than its factorization.
36374956160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55249 (or 55237 counting only the distinct ones).
The product of its (nonzero) digits is 2449440, while the sum is 50.
The spelling of 36374956160 in words is "thirty-six billion, three hundred seventy-four million, nine hundred fifty-six thousand, one hundred sixty".
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