| Base | Representation |
|---|---|
| bin | 11100111001110010101… |
| … | …11110110111100010000 |
| 3 | 10111221100211212011100000 |
| 4 | 32130321113312330100 |
| 5 | 112232332100013130 |
| 6 | 2040120203330000 |
| 7 | 131514641505000 |
| oct | 16347127667420 |
| 9 | 3457324764300 |
| 10 | 993100001040 |
| 11 | 353198073614 |
| 12 | 140577220900 |
| 13 | 72858906a14 |
| 14 | 360cdcbc000 |
| 15 | 1ac75b02260 |
| hex | e7395f6f10 |
993100001040 has 960 divisors, whose sum is σ = 4271201625600. Its totient is φ = 213617295360.
The previous prime is 993100001039. The next prime is 993100001041. The reversal of 993100001040 is 40100001399.
It is an interprime number because it is at equal distance from previous prime (993100001039) and next prime (993100001041).
It is a super-2 number, since 2×9931000010402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 993100000995 and 993100001013.
It is not an unprimeable number, because it can be changed into a prime (993100001041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113350260 + ... + 113359020.
It is an arithmetic number, because the mean of its divisors is an integer number (4449168360).
Almost surely, 2993100001040 is an apocalyptic number.
993100001040 is a gapful number since it is divisible by the number (90) 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 993100001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135600812800).
993100001040 is an abundant number, since it is smaller than the sum of its proper divisors (3278101624560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
993100001040 is a wasteful number, since it uses less digits than its factorization.
993100001040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8827 (or 8795 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 27.
The spelling of 993100001040 in words is "nine hundred ninety-three billion, one hundred million, one thousand, forty".
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