Base | Representation |
---|---|
bin | 10100101101111000010011… |
… | …110010111110000000000000 |
3 | 102221121101120011201110200000 |
4 | 110231320103302332000000 |
5 | 43420301444144024400 |
6 | 521441030510400000 |
7 | 25122516055304520 |
oct | 2455702362760000 |
9 | 387541504643600 |
10 | 91113768345600 |
11 | 2703914a999a70 |
12 | a276560800000 |
13 | 3babcb73b6560 |
14 | 186dd039a1680 |
15 | a80128e52600 |
hex | 52de13cbe000 |
91113768345600 has 8064 divisors, whose sum is σ = 477042427330560. Its totient is φ = 16625958912000.
The previous prime is 91113768345577. The next prime is 91113768345601. The reversal of 91113768345600 is 654386731119.
91113768345600 is a `hidden beast` number, since 9 + 1 + 1 + 1 + 3 + 76 + 8 + 3 + 4 + 560 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (8064).
It is a super-2 number, since 2×911137683456002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (91113768345601) by changing a digit.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1544301158371 + ... + 1544301158429.
It is an arithmetic number, because the mean of its divisors is an integer number (59157047040).
Almost surely, 291113768345600 is an apocalyptic number.
91113768345600 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 91113768345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238521213665280).
91113768345600 is an abundant number, since it is smaller than the sum of its proper divisors (385928658984960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
91113768345600 is a wasteful number, since it uses less digits than its factorization.
91113768345600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 172 (or 131 counting only the distinct ones).
The product of its (nonzero) digits is 3265920, while the sum is 54.
The spelling of 91113768345600 in words is "ninety-one trillion, one hundred thirteen billion, seven hundred sixty-eight million, three hundred forty-five thousand, six hundred".
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