| Base | Representation |
|---|---|
| bin | 10010110100110110… |
| … | …01011001000000000 |
| 3 | 222002101010011210200 |
| 4 | 21122123023020000 |
| 5 | 131144343214423 |
| 6 | 4350524125200 |
| 7 | 505314101064 |
| oct | 113233131000 |
| 9 | 28071104720 |
| 10 | 10107007488 |
| 11 | 4317162356 |
| 12 | 1b60996800 |
| 13 | c50c15706 |
| 14 | 6bc459aa4 |
| 15 | 3e2498d43 |
| hex | 25a6cb200 |
10107007488 has 90 divisors (see below), whose sum is σ = 29189217057. Its totient is φ = 3366727680.
The previous prime is 10107007483. The next prime is 10107007517. The reversal of 10107007488 is 88470070101.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
10107007488 is a `hidden beast` number, since 101 + 0 + 70 + 0 + 7 + 488 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 10054473984 + 52533504 = 100272^2 + 7248^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=71088.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (10107007483) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6823708 + ... + 6825188.
Almost surely, 210107007488 is an apocalyptic number.
10107007488 is a gapful number since it is divisible by the number (18) 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 10107007488
10107007488 is an abundant number, since it is smaller than the sum of its proper divisors (19082209569).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10107007488 is an frugal number, since it uses more digits than its factorization.
10107007488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2986 (or 1486 counting only the distinct ones).
The product of its (nonzero) digits is 12544, while the sum is 36.
Adding to 10107007488 its reverse (88470070101), we get a palindrome (98577077589).
The spelling of 10107007488 in words is "ten billion, one hundred seven million, seven thousand, four hundred eighty-eight".
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