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53082359460 = 223251322684769
BaseRepresentation
bin110001011011111101…
…001000011010100100
312002000101211020220100
4301123331020122210
51332203041000320
640215151104100
73556300416324
oct613375103244
9162011736810
1053082359460
112056a676369
12a355212030
13500c52c570
1427d7c55284
1515aa2a6790
hexc5bf486a4

53082359460 has 72 divisors (see below), whose sum is σ = 173402381880. Its totient is φ = 13066426368.

The previous prime is 53082359459. The next prime is 53082359471. The reversal of 53082359460 is 6495328035.

53082359460 is a `hidden beast` number, since 5 + 30 + 8 + 23 + 594 + 6 + 0 = 666.

53082359460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9326923776 + 43755435684 = 96576^2 + 209178^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11340045 + ... + 11344724.

It is an arithmetic number, because the mean of its divisors is an integer number (2408366415).

Almost surely, 253082359460 is an apocalyptic number.

It is an amenable number.

53082359460 is an abundant number, since it is smaller than the sum of its proper divisors (120320022420).

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

53082359460 is a wasteful number, since it uses less digits than its factorization.

53082359460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22684797 (or 22684792 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 53082359460 in words is "fifty-three billion, eighty-two million, three hundred fifty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 22684769 45369538 68054307 90739076 113423845 136108614 204162921 226847690 272217228 294901997 340271535 408325842 453695380 589803994 680543070 816651684 884705991 1020814605 1179607988 1361086140 1474509985 1769411982 2041629210 2654117973 2949019970 3538823964 4083258420 4423529955 5308235946 5898039940 8847059910 10616471892 13270589865 17694119820 26541179730 53082359460