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63145839792 = 2437273367777
BaseRepresentation
bin111010110011110010…
…010000110010110000
320000222202001000200010
4322303302100302300
52013310313333132
645001522254520
74363545532200
oct726362206260
9200882030603
1063145839792
11248641a9062
12102a34b7440
135c54414b59
1430b05c0400
151998a036cc
hexeb3c90cb0

63145839792 has 120 divisors (see below), whose sum is σ = 192359662896. Its totient is φ = 17794473984.

The previous prime is 63145839773. The next prime is 63145839821. The reversal of 63145839792 is 29793854136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12193 + ... + 355584.

Almost surely, 263145839792 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 63145839792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96179831448).

63145839792 is an abundant number, since it is smaller than the sum of its proper divisors (129213823104).

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

63145839792 is a wasteful number, since it uses less digits than its factorization.

63145839792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367875 (or 367862 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 63145839792 in words is "sixty-three billion, one hundred forty-five million, eight hundred thirty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 73 84 98 112 146 147 168 196 219 292 294 336 392 438 511 584 588 784 876 1022 1168 1176 1533 1752 2044 2352 3066 3504 3577 4088 6132 7154 8176 10731 12264 14308 21462 24528 28616 42924 57232 85848 171696 367777 735554 1103331 1471108 2206662 2574439 2942216 4413324 5148878 5884432 7723317 8826648 10297756 15446634 17653296 18021073 20595512 26847721 30893268 36042146 41191024 53695442 54063219 61786536 72084292 80543163 107390884 108126438 123573072 144168584 161086326 187934047 214781768 216252876 288337168 322172652 375868094 429563536 432505752 563802141 644345304 751736188 865011504 1127604282 1288690608 1315538329 1503472376 2255208564 2631076658 3006944752 3946614987 4510417128 5262153316 7893229974 9020834256 10524306632 15786459948 21048613264 31572919896 63145839792