Base | Representation |
---|---|
bin | 100010011011100110… |
… | …111011101000101000 |
3 | 10112102112100112212011 |
4 | 202123212323220220 |
5 | 1101203411200314 |
6 | 24552312125304 |
7 | 2446106215300 |
oct | 423346735050 |
9 | 115375315764 |
10 | 36970412584 |
11 | 1475191a196 |
12 | 71b9396834 |
13 | 364250baa1 |
14 | 1b0a0a2600 |
15 | e65a4b4c4 |
hex | 89b9bba28 |
36970412584 has 96 divisors (see below), whose sum is σ = 86551082280. Its totient is φ = 14707961856.
The previous prime is 36970412513. The next prime is 36970412587. The reversal of 36970412584 is 48521407963.
It is a happy number.
36970412584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 34800902500 + 2169510084 = 186550^2 + 46578^2 .
It is a super-2 number, since 2×369704125842 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (49).
It is not an unprimeable number, because it can be changed into a prime (36970412587) by changing a digit.
It is a nontrivial repunit in base 3331.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448474 + ... + 524470.
It is a 2-persistent number, because it is pandigital, and so is 2⋅36970412584 = 73940825168, but 3⋅36970412584 = 110911237752 is not.
Almost surely, 236970412584 is an apocalyptic number.
36970412584 is a gapful number since it is divisible by the number (34) 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 36970412584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43275541140).
36970412584 is an abundant number, since it is smaller than the sum of its proper divisors (49580669696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36970412584 is a wasteful number, since it uses less digits than its factorization.
36970412584 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 76107 (or 76096 counting only the distinct ones).
The product of its (nonzero) digits is 1451520, while the sum is 49.
The spelling of 36970412584 in words is "thirty-six billion, nine hundred seventy million, four hundred twelve thousand, five hundred eighty-four".
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