Search a number
-
+
51114819532560 = 2435755635469259
BaseRepresentation
bin10111001111101000110001…
…01010010011011100010000
320200222112021122210021202220
423213310120222103130100
523144431122300020220
6300413453544541040
713523631610202010
oct1347643052233420
9220875248707686
1051114819532560
111531774507a253
125896489781780
13226a15083b714
14c89d82d59c40
155d9931678540
hex2e7d18a93710

51114819532560 has 160 divisors (see below), whose sum is σ = 181125089633280. Its totient is φ = 11681284990464.

The previous prime is 51114819532523. The next prime is 51114819532591. The reversal of 51114819532560 is 6523591841115.

It is a super-2 number, since 2×511148195325602 (a number of 28 digits) contains 22 as substring.

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, 6611211 + ... + 12080469.

It is an arithmetic number, because the mean of its divisors is an integer number (1132031810208).

Almost surely, 251114819532560 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 51114819532560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90562544816640).

51114819532560 is an abundant number, since it is smaller than the sum of its proper divisors (130010270100720).

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

51114819532560 is a wasteful number, since it uses less digits than its factorization.

51114819532560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474845 (or 5474839 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 51.

The spelling of 51114819532560 in words is "fifty-one trillion, one hundred fourteen billion, eight hundred nineteen million, five hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 5563 11126 16689 22252 27815 33378 38941 44504 55630 66756 77882 83445 89008 111260 116823 133512 155764 166890 194705 222520 233646 267024 311528 333780 389410 445040 467292 584115 623056 667560 778820 934584 1168230 1335120 1557640 1869168 2336460 3115280 4672920 5469259 9345840 10938518 16407777 21877036 27346295 32815554 38284813 43754072 54692590 65631108 76569626 82038885 87508144 109385180 114854439 131262216 153139252 164077770 191424065 218770360 229708878 262524432 306278504 328155540 382848130 437540720 459417756 574272195 612557008 656311080 765696260 918835512 1148544390 1312622160 1531392520 1837671024 2297088780 3062785040 4594177560 9188355120 30425487817 60850975634 91276463451 121701951268 152127439085 182552926902 212978414719 243403902536 304254878170 365105853804 425956829438 456382317255 486807805072 608509756340 638935244157 730211707608 851913658876 912764634510 1064892073595 1217019512680 1277870488314 1460423415216 1703827317752 1825529269020 2129784147190 2434039025360 2555740976628 3194676220785 3407654635504 3651058538040 4259568294380 5111481953256 6389352441570 7302117076080 8519136588760 10222963906512 12778704883140 17038273177520 25557409766280 51114819532560