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53081888760 = 23345131912421
BaseRepresentation
bin110001011011111011…
…010101011111111000
312002000100221100020000
4301123323111133320
51332202430420020
640215133033000
73556263416115
oct613373253770
9162010840200
1053081888760
112056a38475a
12a355025760
13500c3c6244
1427d7b7190c
1515aa212090
hexc5bed57f8

53081888760 has 160 divisors (see below), whose sum is σ = 178563765600. Its totient is φ = 14143299840.

The previous prime is 53081888719. The next prime is 53081888777. The reversal of 53081888760 is 6788818035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 53081888697 and 53081888706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4267350 + ... + 4279770.

It is an arithmetic number, because the mean of its divisors is an integer number (1116023535).

Almost surely, 253081888760 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 53081888760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89281882800).

53081888760 is an abundant number, since it is smaller than the sum of its proper divisors (125481876840).

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

53081888760 is a wasteful number, since it uses less digits than its factorization.

53081888760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13763 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 53081888760 in words is "fifty-three billion, eighty-one million, eight hundred eighty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1319 1620 2638 3240 3957 5276 6595 7914 10552 11871 12421 13190 15828 19785 23742 24842 26380 31656 35613 37263 39570 47484 49684 52760 59355 62105 71226 74526 79140 94968 99368 106839 111789 118710 124210 142452 149052 158280 178065 186315 213678 223578 237420 248420 284904 298104 335367 356130 372630 427356 447156 474840 496840 534195 558945 670734 712260 745260 854712 894312 1006101 1068390 1117890 1341468 1424520 1490520 1676835 2012202 2136780 2235780 2682936 3353670 4024404 4273560 4471560 5030505 6707340 8048808 10061010 13414680 16383299 20122020 32766598 40244040 49149897 65533196 81916495 98299794 131066392 147449691 163832990 196599588 245749485 294899382 327665980 393199176 442349073 491498970 589798764 655331960 737248455 884698146 982997940 1179597528 1327047219 1474496910 1769396292 1965995880 2211745365 2654094438 2948993820 3538792584 4423490730 5308188876 5897987640 6635236095 8846981460 10616377752 13270472190 17693962920 26540944380 53081888760