| Base | Representation |
|---|---|
| bin | 10011111111101010… |
| … | …01001110111000000 |
| 3 | 1000201002222220122100 |
| 4 | 21333311021313000 |
| 5 | 133441022400130 |
| 6 | 4533103110400 |
| 7 | 530004245100 |
| oct | 117765116700 |
| 9 | 30632886570 |
| 10 | 10734575040 |
| 11 | 460942a122 |
| 12 | 20b6ba2400 |
| 13 | 1020c44067 |
| 14 | 73b93b200 |
| 15 | 42c60ec60 |
| hex | 27fd49dc0 |
10734575040 has 1008 divisors, whose sum is σ = 46210301280. Its totient is φ = 2275983360.
The previous prime is 10734575009. The next prime is 10734575041. The reversal of 10734575040 is 4057543701.
It is a happy number.
10734575040 is a `hidden beast` number, since 10 + 7 + 34 + 575 + 0 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a super-2 number, since 2×107345750402 (a number of 21 digits) contains 22 as substring.
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 = 10734574986 and 10734575004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10734575041) by changing a digit.
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 143 ways as a sum of consecutive naturals, for example, 175976610 + ... + 175976670.
Almost surely, 210734575040 is an apocalyptic number.
10734575040 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 10734575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23105150640).
10734575040 is an abundant number, since it is smaller than the sum of its proper divisors (35475726240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10734575040 is a wasteful number, since it uses less digits than its factorization.
10734575040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170 (or 150 counting only the distinct ones).
The product of its (nonzero) digits is 58800, while the sum is 36.
The spelling of 10734575040 in words is "ten billion, seven hundred thirty-four million, five hundred seventy-five thousand, forty".
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