Base | Representation |
---|---|
bin | 110111111010000010111010… |
… | …000100000001111000000000 |
3 | 1012020121000220011220220222000 |
4 | 313322002322010001320000 |
5 | 224212010111300123330 |
6 | 2230540205440144000 |
7 | 102535226353300323 |
oct | 6772027204017000 |
9 | 1166530804826860 |
10 | 245881409379840 |
11 | 713887a1530683 |
12 | 236b156a608000 |
13 | a7276959b3030 |
14 | 44a0a1bc1a7ba |
15 | 1d65e16887560 |
hex | dfa0ba101e00 |
245881409379840 has 1280 divisors, whose sum is σ = 973776336825600. Its totient is φ = 58391514316800.
The previous prime is 245881409379791. The next prime is 245881409379943. The reversal of 245881409379840 is 48973904188542.
It is a happy number.
245881409379840 is a `hidden beast` number, since 2 + 4 + 58 + 81 + 409 + 3 + 7 + 98 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1280).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
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 127 ways as a sum of consecutive naturals, for example, 42240404130 + ... + 42240409950.
It is an arithmetic number, because the mean of its divisors is an integer number (760762763145).
Almost surely, 2245881409379840 is an apocalyptic number.
245881409379840 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 245881409379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486888168412800).
245881409379840 is an abundant number, since it is smaller than the sum of its proper divisors (727894927445760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
245881409379840 is a wasteful number, since it uses less digits than its factorization.
245881409379840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7516 (or 7494 counting only the distinct ones).
The product of its (nonzero) digits is 557383680, while the sum is 72.
The spelling of 245881409379840 in words is "two hundred forty-five trillion, eight hundred eighty-one billion, four hundred nine million, three hundred seventy-nine thousand, eight hundred forty".
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