Base | Representation |
---|---|
bin | 100010011000101000… |
… | …000101010111111111 |
3 | 10112022001012210010200 |
4 | 202120220011113333 |
5 | 1101103104223400 |
6 | 24543323534543 |
7 | 2444631035340 |
oct | 423050052777 |
9 | 115261183120 |
10 | 36920382975 |
11 | 14726659203 |
12 | 71a468a453 |
13 | 3635043078 |
14 | 1b0359c0c7 |
15 | e61467b00 |
hex | 898a055ff |
36920382975 has 72 divisors (see below), whose sum is σ = 76057319520. Its totient is φ = 16770274560.
The previous prime is 36920382949. The next prime is 36920382997. The reversal of 36920382975 is 57928302963.
It is a happy number.
36920382975 is a `hidden beast` number, since 369 + 203 + 8 + 2 + 9 + 75 = 666.
36920382975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 36920382975 - 27 = 36920382847 is a prime.
It is a super-3 number, since 3×369203829753 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172621 + ... + 321929.
It is an arithmetic number, because the mean of its divisors is an integer number (1056351660).
Almost surely, 236920382975 is an apocalyptic number.
36920382975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.
36920382975 is an abundant number, since it is smaller than the sum of its proper divisors (39136936545).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36920382975 is a wasteful number, since it uses less digits than its factorization.
36920382975 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 149489 (or 149481 counting only the distinct ones).
The product of its (nonzero) digits is 4898880, while the sum is 54.
The spelling of 36920382975 in words is "thirty-six billion, nine hundred twenty million, three hundred eighty-two thousand, nine hundred seventy-five".
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