| Base | Representation |
|---|---|
| bin | 1001001001011011001111… |
| … | …0000101100000100000000 |
| 3 | 1022121111020212012210100000 |
| 4 | 2102112303300230010000 |
| 5 | 2304240312241344432 |
| 6 | 33220211213200000 |
| 7 | 2055430035134160 |
| oct | 222266360540400 |
| 9 | 38544225183300 |
| 10 | 10057534324992 |
| 11 | 3228415a21a40 |
| 12 | 1165273a90000 |
| 13 | 57c562b139cb |
| 14 | 26ab043485a0 |
| 15 | 126945e9a57c |
| hex | 925b3c2c100 |
10057534324992 has 1728 divisors, whose sum is σ = 41076825753600. Its totient is φ = 2373339709440.
The previous prime is 10057534324961. The next prime is 10057534324993. The reversal of 10057534324992 is 29942343575001.
It is a happy number.
10057534324992 is a `hidden beast` number, since 1 + 0 + 0 + 57 + 5 + 343 + 249 + 9 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (10057534324993) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2361475759 + ... + 2361480017.
It is an arithmetic number, because the mean of its divisors is an integer number (23771311200).
Almost surely, 210057534324992 is an apocalyptic number.
10057534324992 is a gapful number since it is divisible by the number (12) 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 10057534324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20538412876800).
10057534324992 is an abundant number, since it is smaller than the sum of its proper divisors (31019291428608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10057534324992 is a wasteful number, since it uses less digits than its factorization.
10057534324992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4354 (or 4328 counting only the distinct ones).
The product of its (nonzero) digits is 8164800, while the sum is 54.
Adding to 10057534324992 its reverse (29942343575001), we get a palindrome (39999877899993).
The spelling of 10057534324992 in words is "ten trillion, fifty-seven billion, five hundred thirty-four million, three hundred twenty-four thousand, nine hundred ninety-two".
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