Base | Representation |
---|---|
bin | 11111000110100111000010… |
… | …001000111010001000100000 |
3 | 122221100100101002122221220011 |
4 | 133012213002020322020200 |
5 | 120412211414123303342 |
6 | 1202534051130454304 |
7 | 40546005451320322 |
oct | 3706470210721040 |
9 | 587310332587804 |
10 | 136793670525472 |
11 | 3a64a962898494 |
12 | 13413643594394 |
13 | 5b4378447803c |
14 | 25acbc585b612 |
15 | 10c34b5d08717 |
hex | 7c69c223a220 |
136793670525472 has 96 divisors (see below), whose sum is σ = 285033615839280. Its totient is φ = 64523464212480.
The previous prime is 136793670525467. The next prime is 136793670525511. The reversal of 136793670525472 is 274525076397631.
It can be written as a sum of positive squares in 8 ways, for example, as 56534218117776 + 80259452407696 = 7518924^2 + 8958764^2 .
It is a junction number, because it is equal to n+sod(n) for n = 136793670525398 and 136793670525407.
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 15 ways as a sum of consecutive naturals, for example, 6083088 + ... + 17623600.
Almost surely, 2136793670525472 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 136793670525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142516807919640).
136793670525472 is an abundant number, since it is smaller than the sum of its proper divisors (148239945313808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136793670525472 is a wasteful number, since it uses less digits than its factorization.
136793670525472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11540846 (or 11540838 counting only the distinct ones).
The product of its (nonzero) digits is 400075200, while the sum is 67.
The spelling of 136793670525472 in words is "one hundred thirty-six trillion, seven hundred ninety-three billion, six hundred seventy million, five hundred twenty-five thousand, four hundred seventy-two".
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