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63134736240 = 24354311354139
BaseRepresentation
bin111010110011000111…
…111001111101110000
320000221222010220110110
4322303013321331300
52013244443024430
645000444301320
74363352255262
oct726307717560
9200858126413
1063134736240
1124858a04874
121029b841840
135c52027bc4
1430acd2db32
151997a5d7b0
hexeb31f9f70

63134736240 has 160 divisors (see below), whose sum is σ = 202045282560. Its totient is φ = 16298569728.

The previous prime is 63134736239. The next prime is 63134736253. The reversal of 63134736240 is 4263743136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139091 + ... + 1193229.

It is an arithmetic number, because the mean of its divisors is an integer number (1262783016).

Almost surely, 263134736240 is an apocalyptic number.

63134736240 is a gapful number since it is divisible by the number (60) 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 63134736240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101022641280).

63134736240 is an abundant number, since it is smaller than the sum of its proper divisors (138910546320).

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

63134736240 is a wasteful number, since it uses less digits than its factorization.

63134736240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54311 (or 54305 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The spelling of 63134736240 in words is "sixty-three billion, one hundred thirty-four million, seven hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 113 120 129 172 215 226 240 258 339 344 430 452 516 565 645 678 688 860 904 1032 1130 1290 1356 1695 1720 1808 2064 2260 2580 2712 3390 3440 4520 4859 5160 5424 6780 9040 9718 10320 13560 14577 19436 24295 27120 29154 38872 48590 54139 58308 72885 77744 97180 108278 116616 145770 162417 194360 216556 233232 270695 291540 324834 388720 433112 541390 583080 649668 812085 866224 1082780 1166160 1299336 1624170 2165560 2327977 2598672 3248340 4331120 4655954 6117707 6496680 6983931 9311908 11639885 12235414 12993360 13967862 18353121 18623816 23279770 24470828 27935724 30588535 34919655 36706242 37247632 46559540 48941656 55871448 61177070 69839310 73412484 91765605 93119080 97883312 111742896 122354140 139678620 146824968 183531210 186238160 244708280 263061401 279357240 293649936 367062420 489416560 526122802 558714480 734124840 789184203 1052245604 1315307005 1468249680 1578368406 2104491208 2630614010 3156736812 3945921015 4208982416 5261228020 6313473624 7891842030 10522456040 12626947248 15783684060 21044912080 31567368120 63134736240