Base | Representation |
---|---|
bin | 10101000111000110000011… |
… | …01000110010111111010000 |
3 | 20002101000112110212010220121 |
4 | 22203203001220302333100 |
5 | 22041044311314414324 |
6 | 242422314331520024 |
7 | 12530653353502405 |
oct | 1243430150627720 |
9 | 202330473763817 |
10 | 46423255232464 |
11 | 13878aa0366200 |
12 | 525917a2b9014 |
13 | 1cb9904179c76 |
14 | b66c7cbd82ac |
15 | 557896ec75e4 |
hex | 2a38c1a32fd0 |
46423255232464 has 120 divisors (see below), whose sum is σ = 100499387462600. Its totient is φ = 20752782336000.
The previous prime is 46423255232461. The next prime is 46423255232489.
46423255232464 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 1580250126400 + 44843005106064 = 1257080^2 + 6696492^2 .
It is a super-2 number, since 2×464232552324642 (a number of 28 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46423255232461) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068628984 + ... + 1068672424.
Almost surely, 246423255232464 is an apocalyptic number.
46423255232464 is a gapful number since it is divisible by the number (44) 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 46423255232464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50249693731300).
46423255232464 is an abundant number, since it is smaller than the sum of its proper divisors (54076132230136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46423255232464 is a wasteful number, since it uses less digits than its factorization.
46423255232464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52581 (or 52564 counting only the distinct ones).
The product of its digits is 33177600, while the sum is 52.
It can be divided in two parts, 4642325 and 5232464, that added together give a palindrome (9874789).
The spelling of 46423255232464 in words is "forty-six trillion, four hundred twenty-three billion, two hundred fifty-five million, two hundred thirty-two thousand, four hundred sixty-four".
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