Base | Representation |
---|---|
bin | 1001100101011001010010… |
… | …1111010001111000000000 |
3 | 1101022102112211121100111000 |
4 | 2121112110233101320000 |
5 | 2340123411322332130 |
6 | 34225040300052000 |
7 | 2135230464516600 |
oct | 231262457217000 |
9 | 41272484540430 |
10 | 10538050199040 |
11 | 33a318667a201 |
12 | 1222417834000 |
13 | 5b5970409370 |
14 | 2860899b0c00 |
15 | 1341bb2b4260 |
hex | 99594bd1e00 |
10538050199040 has 1920 divisors, whose sum is σ = 47567445488640. Its totient is φ = 2191446835200.
The previous prime is 10538050198967. The next prime is 10538050199041. The reversal of 10538050199040 is 4099105083501.
10538050199040 is a `hidden beast` number, since 1 + 0 + 53 + 8 + 0 + 501 + 9 + 90 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×105380501990402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10538050199041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3126088555 + ... + 3126091925.
It is an arithmetic number, because the mean of its divisors is an integer number (24774711192).
Almost surely, 210538050199040 is an apocalyptic number.
10538050199040 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 10538050199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783722744320).
10538050199040 is an abundant number, since it is smaller than the sum of its proper divisors (37029395289600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10538050199040 is a wasteful number, since it uses less digits than its factorization.
10538050199040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3501 (or 3472 counting only the distinct ones).
The product of its (nonzero) digits is 194400, while the sum is 45.
The spelling of 10538050199040 in words is "ten trillion, five hundred thirty-eight billion, fifty million, one hundred ninety-nine thousand, forty".
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