Base | Representation |
---|---|
bin | 10011110011111110… |
… | …01010100110110000 |
3 | 1000110021112000200200 |
4 | 21321333022212300 |
5 | 133240423124430 |
6 | 4515241515200 |
7 | 524404031511 |
oct | 117177124660 |
9 | 30407460620 |
10 | 10636536240 |
11 | 4569058120 |
12 | 208a1a2b00 |
13 | 1006839135 |
14 | 72c8daa08 |
15 | 423be6460 |
hex | 279fca9b0 |
10636536240 has 240 divisors, whose sum is σ = 39357186336. Its totient is φ = 2552832000.
The previous prime is 10636536193. The next prime is 10636536289. The reversal of 10636536240 is 4263563601.
10636536240 is a `hidden beast` number, since 10 + 636 + 5 + 3 + 6 + 2 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×106365362402 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10636536195 and 10636536204.
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 47 ways as a sum of consecutive naturals, for example, 793272 + ... + 806568.
Almost surely, 210636536240 is an apocalyptic number.
10636536240 is a gapful number since it is divisible by the number (10) 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 10636536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19678593168).
10636536240 is an abundant number, since it is smaller than the sum of its proper divisors (28720650096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10636536240 is a wasteful number, since it uses less digits than its factorization.
10636536240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13428 (or 13419 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
The spelling of 10636536240 in words is "ten billion, six hundred thirty-six million, five hundred thirty-six thousand, two hundred forty".
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