Base | Representation |
---|---|
bin | 10101001111011110011110… |
… | …000011001001000000000000 |
3 | 110020210002202121221102122000 |
4 | 111033132132003021000000 |
5 | 44221113222212404340 |
6 | 530405410334544000 |
7 | 25451360163403353 |
oct | 2517363603110000 |
9 | 406702677842560 |
10 | 93422485278720 |
11 | 27849287469a04 |
12 | a589aa1368000 |
13 | 40189196aa200 |
14 | 190d95b16229a |
15 | ac01eea03d30 |
hex | 54f79e0c9000 |
93422485278720 has 2496 divisors, whose sum is σ = 378944911699200. Its totient is φ = 21795931422720.
The previous prime is 93422485278697. The next prime is 93422485278737. The reversal of 93422485278720 is 2787258422439.
93422485278720 is a `hidden beast` number, since 9 + 3 + 4 + 2 + 2 + 4 + 8 + 527 + 87 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (2496).
It is an unprimeable number.
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, 141764013751 + ... + 141764014409.
Almost surely, 293422485278720 is an apocalyptic number.
93422485278720 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 93422485278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189472455849600).
93422485278720 is an abundant number, since it is smaller than the sum of its proper divisors (285522426420480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
93422485278720 is a wasteful number, since it uses less digits than its factorization.
93422485278720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 801 (or 760 counting only the distinct ones).
The product of its (nonzero) digits is 108380160, while the sum is 63.
It can be divided in two parts, 93422485 and 278720, that added together give a triangular number (93701205 = T13689).
The spelling of 93422485278720 in words is "ninety-three trillion, four hundred twenty-two billion, four hundred eighty-five million, two hundred seventy-eight thousand, seven hundred twenty".
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