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639120961752 = 2337131289227027
BaseRepresentation
bin10010100110011101001…
…00111111000011011000
32021002200102211211012120
421103032210333003120
540432404431234002
61205335204141240
764114004353050
oct11231644770330
92232612754176
10639120961752
11227060137149
12a3a48397820
13483658754a0
1422d0dbd0560
15119595b8cbc
hex94ce93f0d8

639120961752 has 128 divisors (see below), whose sum is σ = 1968060326400. Its totient is φ = 168427865088.

The previous prime is 639120961729. The next prime is 639120961753. The reversal of 639120961752 is 257169021936.

639120961752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 639120961695 and 639120961704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (639120961753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2701663 + ... + 2928689.

It is an arithmetic number, because the mean of its divisors is an integer number (15375471300).

Almost surely, 2639120961752 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 639120961752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984030163200).

639120961752 is an abundant number, since it is smaller than the sum of its proper divisors (1328939364648).

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

639120961752 is a wasteful number, since it uses less digits than its factorization.

639120961752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228345 (or 228341 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 639120961752 in words is "six hundred thirty-nine billion, one hundred twenty million, nine hundred sixty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1289 2184 2578 3867 5156 7734 9023 10312 15468 16757 18046 27069 30936 33514 36092 50271 54138 67028 72184 100542 108276 117299 134056 201084 216552 227027 234598 351897 402168 454054 469196 681081 703794 908108 938392 1362162 1407588 1589189 1816216 2724324 2815176 2951351 3178378 4767567 5448648 5902702 6356756 8854053 9535134 11805404 12713512 17708106 19070268 20659457 23610808 35416212 38140536 41318914 61978371 70832424 82637828 123956742 165275656 247913484 292637803 495826968 585275606 877913409 1170551212 1755826818 2048464621 2341102424 3511653636 3804291439 4096929242 6145393863 7023307272 7608582878 8193858484 11412874317 12290787726 15217165756 16387716968 22825748634 24581575452 26630040073 30434331512 45651497268 49163150904 53260080146 79890120219 91302994536 106520160292 159780240438 213040320584 319560480876 639120961752