Base | Representation |
---|---|
bin | 101111101100111011… |
… | …1111101010000000000 |
3 | 100210102012010110120000 |
4 | 1133121313331100000 |
5 | 3134244012304410 |
6 | 115020551320000 |
7 | 10254355666500 |
oct | 1373167752000 |
9 | 323365113500 |
10 | 102439572480 |
11 | 3a498517003 |
12 | 17a2a980000 |
13 | 987707245b |
14 | 4d5b061a00 |
15 | 29e84cadc0 |
hex | 17d9dfd400 |
102439572480 has 990 divisors, whose sum is σ = 433116881802. Its totient is φ = 23084974080.
The previous prime is 102439572463. The next prime is 102439572497. The reversal of 102439572480 is 84275934201.
102439572480 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 39 + 572 + 48 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (102439572463) and next prime (102439572497).
It can be written as a sum of positive squares in only one way, i.e., 81951657984 + 20487914496 = 286272^2 + 143136^2 .
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 89 ways as a sum of consecutive naturals, for example, 1442810845 + ... + 1442810915.
Almost surely, 2102439572480 is an apocalyptic number.
102439572480 is a gapful number since it is divisible by the number (10) 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 102439572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216558440901).
102439572480 is an abundant number, since it is smaller than the sum of its proper divisors (330677309322).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102439572480 is an frugal number, since it uses more digits than its factorization.
102439572480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 193 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
Multiplying 102439572480 by its sum of digits (45), we get a square (4609780761600 = 21470402).
102439572480 divided by its sum of digits (45) gives a square (2276434944 = 477122).
The spelling of 102439572480 in words is "one hundred two billion, four hundred thirty-nine million, five hundred seventy-two thousand, four hundred eighty".
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