Base | Representation |
---|---|
bin | 111001011101110100110111… |
… | …001010101010000111000000 |
3 | 1020010212112200000022120220200 |
4 | 321131310313022222013000 |
5 | 231111330442133331140 |
6 | 2253310210002205200 |
7 | 104143511042445540 |
oct | 7135646712520700 |
9 | 1203775600276820 |
10 | 252738276073920 |
11 | 73591778a7475a |
12 | 2441a455353800 |
13 | ab0416a55c9b0 |
14 | 465a85263b320 |
15 | 1e3448123d030 |
hex | e5dd372aa1c0 |
252738276073920 has 672 divisors, whose sum is σ = 1083468816568320. Its totient is φ = 52649994608640.
The previous prime is 252738276073919. The next prime is 252738276073931. The reversal of 252738276073920 is 29370672837252.
252738276073920 is a `hidden beast` number, since 2 + 5 + 273 + 8 + 276 + 0 + 7 + 3 + 92 + 0 = 666.
252738276073920 is digitally balanced in base 2 and base 4, because in such bases 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 (672).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14600805 + ... + 26807835.
It is an arithmetic number, because the mean of its divisors is an integer number (1612304786560).
Almost surely, 2252738276073920 is an apocalyptic number.
252738276073920 is a gapful number since it is divisible by the number (20) 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 252738276073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541734408284160).
252738276073920 is an abundant number, since it is smaller than the sum of its proper divisors (830730540494400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252738276073920 is a wasteful number, since it uses less digits than its factorization.
252738276073920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12207153 (or 12207140 counting only the distinct ones).
The product of its (nonzero) digits is 106686720, while the sum is 63.
The spelling of 252738276073920 in words is "two hundred fifty-two trillion, seven hundred thirty-eight billion, two hundred seventy-six million, seventy-three thousand, nine hundred twenty".
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