Base | Representation |
---|---|
bin | 111010111111010101010… |
… | …001110011010000000000 |
3 | 112100112101120122002110201 |
4 | 322333111101303100000 |
5 | 1012404020441423004 |
6 | 12342131533134544 |
7 | 565605160435222 |
oct | 72772521632000 |
9 | 15315346562421 |
10 | 4053732373504 |
11 | 13231a6276120 |
12 | 55578292a454 |
13 | 23535abb5498 |
14 | 1002b763a412 |
15 | 706a835d6a4 |
hex | 3afd5473400 |
4053732373504 has 88 divisors (see below), whose sum is σ = 8842656801600. Its totient is φ = 1842091130880.
The previous prime is 4053732373489. The next prime is 4053732373541.
4053732373504 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (88).
It is a super-2 number, since 2×40537323735042 (a number of 26 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41842432 + ... + 41939200.
Almost surely, 24053732373504 is an apocalyptic number.
4053732373504 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 4053732373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421328400800).
4053732373504 is an abundant number, since it is smaller than the sum of its proper divisors (4788924428096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4053732373504 is a wasteful number, since it uses less digits than its factorization.
4053732373504 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 100519 (or 100501 counting only the distinct ones).
The product of its (nonzero) digits is 3175200, while the sum is 46.
The spelling of 4053732373504 in words is "four trillion, fifty-three billion, seven hundred thirty-two million, three hundred seventy-three thousand, five hundred four".
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