| Base | Representation |
|---|---|
| bin | 10010101101101000… |
| … | …00100011110000000 |
| 3 | 221221011010021012100 |
| 4 | 21112310010132000 |
| 5 | 131033341044320 |
| 6 | 4340521430400 |
| 7 | 503650126455 |
| oct | 112664043600 |
| 9 | 27834107170 |
| 10 | 10046424960 |
| 11 | 4295a43850 |
| 12 | 1b4463b400 |
| 13 | c414c3570 |
| 14 | 6b43a982c |
| 15 | 3dbecd790 |
| hex | 256d04780 |
10046424960 has 384 divisors, whose sum is σ = 40759860960. Its totient is φ = 2247966720.
The previous prime is 10046424929. The next prime is 10046424991. The reversal of 10046424960 is 6942464001.
10046424960 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 642 + 4 + 9 + 6 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (10046424929) and next prime (10046424991).
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×100464249602 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 817582 + ... + 829778.
Almost surely, 210046424960 is an apocalyptic number.
10046424960 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 10046424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379930480).
10046424960 is an abundant number, since it is smaller than the sum of its proper divisors (30713436000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10046424960 is a wasteful number, since it uses less digits than its factorization.
10046424960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12246 (or 12231 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
Adding to 10046424960 its reverse (6942464001), we get a palindrome (16988888961).
The spelling of 10046424960 in words is "ten billion, forty-six million, four hundred twenty-four thousand, nine hundred sixty".
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