Base | Representation |
---|---|
bin | 1001000010101100101110… |
… | …1000101111111101100000 |
3 | 1022012102222001000110000000 |
4 | 2100223023220233331200 |
5 | 2300342124004430000 |
6 | 33051140041300000 |
7 | 2044166206202010 |
oct | 220531350577540 |
9 | 38172861013000 |
10 | 9941970780000 |
11 | 3193403356166 |
12 | 11469a1a94600 |
13 | 5716a6ab475c |
14 | 2652a02c9c40 |
15 | 123930730000 |
hex | 90acba2ff60 |
9941970780000 has 1920 divisors, whose sum is σ = 44155165824000. Its totient is φ = 2151588096000.
The previous prime is 9941970779971. The next prime is 9941970780031. The reversal of 9941970780000 is 870791499.
9941970780000 is a `hidden beast` number, since 99 + 419 + 70 + 78 + 0 + 0 + 0 + 0 = 666.
9941970780000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5817419146 + ... + 5817420854.
It is an arithmetic number, because the mean of its divisors is an integer number (22997482200).
Almost surely, 29941970780000 is an apocalyptic number.
9941970780000 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 9941970780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22077582912000).
9941970780000 is an abundant number, since it is smaller than the sum of its proper divisors (34213195044000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9941970780000 is an equidigital number, since it uses as much as digits as its factorization.
9941970780000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1786 (or 1745 counting only the distinct ones).
The product of its (nonzero) digits is 1143072, while the sum is 54.
The spelling of 9941970780000 in words is "nine trillion, nine hundred forty-one billion, nine hundred seventy million, seven hundred eighty thousand".
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