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63314560840 = 23589101176089
BaseRepresentation
bin111010111101110101…
…111000011101001000
320001102111111221102211
4322331311320131020
52014132011421330
645030350434504
74400664613246
oct727565703510
9201374457384
1063314560840
1124940467743
121032bb02a34
135c80369cab
1430c8b7d796
1519a872ed2a
hexebdd78748

63314560840 has 64 divisors (see below), whose sum is σ = 145485558000. Its totient is φ = 24793190400.

The previous prime is 63314560811. The next prime is 63314560853. The reversal of 63314560840 is 4806541336.

It can be written as a sum of positive squares in 8 ways, for example, as 13899938404 + 49414622436 = 117898^2 + 222294^2 .

It is a super-2 number, since 2×633145608402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 63314560793 and 63314560802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271516 + ... + 447604.

Almost surely, 263314560840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63314560840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72742779000).

63314560840 is an abundant number, since it is smaller than the sum of its proper divisors (82170997160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63314560840 is a wasteful number, since it uses less digits than its factorization.

63314560840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176290 (or 176286 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 63314560840 in words is "sixty-three billion, three hundred fourteen million, five hundred sixty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 101 178 202 356 404 445 505 712 808 890 1010 1780 2020 3560 4040 8989 17978 35956 44945 71912 89890 176089 179780 352178 359560 704356 880445 1408712 1760890 3521780 7043560 15671921 17784989 31343842 35569978 62687684 71139956 78359605 88924945 125375368 142279912 156719210 177849890 313438420 355699780 626876840 711399560 1582864021 3165728042 6331456084 7914320105 12662912168 15828640210 31657280420 63314560840