| Base | Representation |
|---|---|
| bin | 1001000110011101000000… |
| … | …1111000010010101100000 |
| 3 | 1022102121110021021000112200 |
| 4 | 2101213100033002111200 |
| 5 | 2302421223420410130 |
| 6 | 33140524315453200 |
| 7 | 2051641500212304 |
| oct | 221472017022540 |
| 9 | 38377407230480 |
| 10 | 10006472435040 |
| 11 | 32087a2904294 |
| 12 | 11573a3457200 |
| 13 | 5777b6077843 |
| 14 | 26845c999d04 |
| 15 | 12545829b760 |
| hex | 919d03c2560 |
10006472435040 has 288 divisors, whose sum is σ = 35118614827296. Its totient is φ = 2593103708160.
The previous prime is 10006472434961. The next prime is 10006472435051. The reversal of 10006472435040 is 4053427460001.
10006472435040 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 647 + 2 + 4 + 3 + 5 + 0 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
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 = 10006472434986 and 10006472435004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11788080 + ... + 12608400.
It is an arithmetic number, because the mean of its divisors is an integer number (121939634817).
Almost surely, 210006472435040 is an apocalyptic number.
10006472435040 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 10006472435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559307413648).
10006472435040 is an abundant number, since it is smaller than the sum of its proper divisors (25112142392256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10006472435040 is a wasteful number, since it uses less digits than its factorization.
10006472435040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 820582 (or 820571 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
Adding to 10006472435040 its reverse (4053427460001), we get a palindrome (14059899895041).
The spelling of 10006472435040 in words is "ten trillion, six billion, four hundred seventy-two million, four hundred thirty-five thousand, forty".
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