Base | Representation |
---|---|
bin | 111001001001011111… |
… | …110011001001100000 |
3 | 12212101110120210222000 |
4 | 321021133303021200 |
5 | 2001132312134010 |
6 | 44104541444000 |
7 | 4301423422560 |
oct | 711137631140 |
9 | 185343523860 |
10 | 61362614880 |
11 | 24029661866 |
12 | ba86270600 |
13 | 5a2bb49398 |
14 | 2d81832da0 |
15 | 18e21b07c0 |
hex | e497f3260 |
61362614880 has 768 divisors, whose sum is σ = 252332236800. Its totient is φ = 13638481920.
The previous prime is 61362614857. The next prime is 61362614899. The reversal of 61362614880 is 8841626316.
61362614880 is a `hidden beast` number, since 6 + 1 + 3 + 626 + 14 + 8 + 8 + 0 = 666.
61362614880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×613626148802 (a number of 22 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290817975 + ... + 290818185.
It is an arithmetic number, because the mean of its divisors is an integer number (328557600).
Almost surely, 261362614880 is an apocalyptic number.
61362614880 is a gapful number since it is divisible by the number (60) 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 61362614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126166118400).
61362614880 is an abundant number, since it is smaller than the sum of its proper divisors (190969621920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61362614880 is a wasteful number, since it uses less digits than its factorization.
61362614880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 464 (or 450 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The spelling of 61362614880 in words is "sixty-one billion, three hundred sixty-two million, six hundred fourteen thousand, eight hundred eighty".
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