Base | Representation |
---|---|
bin | 11110111001000101101110… |
… | …01110010110100011111010 |
3 | 22220112021002011112012000000 |
4 | 33130202313032112203322 |
5 | 32401000300321341430 |
6 | 400251353534053430 |
7 | 20210642101000122 |
oct | 1734426716264372 |
9 | 286467064465000 |
10 | 67932276746490 |
11 | 1a710a0a261642 |
12 | 775189204a276 |
13 | 2bb9ca891ab80 |
14 | 12abd228d7c82 |
15 | 7cc11b233e60 |
hex | 3dc8b73968fa |
67932276746490 has 448 divisors, whose sum is σ = 201247015929120. Its totient is φ = 16400576839680.
The previous prime is 67932276746489. The next prime is 67932276746539. The reversal of 67932276746490 is 9464767223976.
67932276746490 is a `hidden beast` number, since 6 + 7 + 9 + 3 + 2 + 2 + 76 + 7 + 464 + 90 = 666.
It can be written as a sum of positive squares in 16 ways, for example, as 17135054581401 + 50797222165089 = 4139451^2 + 7127217^2 .
It is a super-2 number, since 2×679322767464902 (a number of 28 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2040665766 + ... + 2040699054.
Almost surely, 267932276746490 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 67932276746490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100623507964560).
67932276746490 is an abundant number, since it is smaller than the sum of its proper divisors (133314739182630).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67932276746490 is a wasteful number, since it uses less digits than its factorization.
67932276746490 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33741 (or 33726 counting only the distinct ones).
The product of its (nonzero) digits is 1152216576, while the sum is 72.
The spelling of 67932276746490 in words is "sixty-seven trillion, nine hundred thirty-two billion, two hundred seventy-six million, seven hundred forty-six thousand, four hundred ninety".
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