Base | Representation |
---|---|
bin | 1001000000101010001010… |
… | …0111101000101110100000 |
3 | 1022002002111111012212002210 |
4 | 2100022202213220232200 |
5 | 2244303334224242000 |
6 | 33023102203242120 |
7 | 2041515533043132 |
oct | 220124247505640 |
9 | 38062444185083 |
10 | 9906922884000 |
11 | 317a55877115a |
12 | 1140040519340 |
13 | 56b2ac99125c |
14 | 2636d76b3052 |
15 | 122a7d88d350 |
hex | 902a29e8ba0 |
9906922884000 has 192 divisors, whose sum is σ = 32654196731520. Its totient is φ = 2625637939200.
The previous prime is 9906922883953. The next prime is 9906922884077. The reversal of 9906922884000 is 4882296099.
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 31 ways as a sum of consecutive naturals, for example, 576445 + ... + 4488444.
It is an arithmetic number, because the mean of its divisors is an integer number (170073941310).
Almost surely, 29906922884000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9906922884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16327098365760).
9906922884000 is an abundant number, since it is smaller than the sum of its proper divisors (22747273847520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9906922884000 is a wasteful number, since it uses less digits than its factorization.
9906922884000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5065080 (or 5065062 counting only the distinct ones).
The product of its (nonzero) digits is 4478976, while the sum is 57.
The spelling of 9906922884000 in words is "nine trillion, nine hundred six billion, nine hundred twenty-two million, eight hundred eighty-four thousand".
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