| Base | Representation |
|---|---|
| bin | 1001011101011011101011… |
| … | …1011110001010000100000 |
| 3 | 1100211100110010202120002100 |
| 4 | 2113112322323301100200 |
| 5 | 2330403231011212143 |
| 6 | 34042134053050400 |
| 7 | 2122315502464542 |
| oct | 227267273612040 |
| 9 | 40740403676070 |
| 10 | 10401252054048 |
| 11 | 3350167696129 |
| 12 | 11bb9ba326a00 |
| 13 | 5a5aabcb533b |
| 14 | 27d5cd6d1692 |
| 15 | 13086170a6d3 |
| hex | 975baef1420 |
10401252054048 has 288 divisors, whose sum is σ = 31914862866432. Its totient is φ = 3203857958400.
The previous prime is 10401252054001. The next prime is 10401252054101. The reversal of 10401252054048 is 84045025210401.
10401252054048 is a `hidden beast` number, since 1 + 0 + 40 + 1 + 2 + 5 + 205 + 404 + 8 = 666.
10401252054048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×104012520540482 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120493783 + ... + 120580073.
It is an arithmetic number, because the mean of its divisors is an integer number (110815496064).
Almost surely, 210401252054048 is an apocalyptic number.
10401252054048 is a gapful number since it is divisible by the number (18) 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 10401252054048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15957431433216).
10401252054048 is an abundant number, since it is smaller than the sum of its proper divisors (21513610812384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10401252054048 is a wasteful number, since it uses less digits than its factorization.
10401252054048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 86948 (or 86937 counting only the distinct ones).
The product of its (nonzero) digits is 51200, while the sum is 36.
Adding to 10401252054048 its reverse (84045025210401), we get a palindrome (94446277264449).
The spelling of 10401252054048 in words is "ten trillion, four hundred one billion, two hundred fifty-two million, fifty-four thousand, forty-eight".
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