Search a number
-
+
80502269040 = 24335230916141
BaseRepresentation
bin100101011111001001…
…1110010010001110000
321200210100012222121000
41022332103302101300
52304332040102130
6100552055002000
75546630665554
oct1127623622160
9250710188530
1080502269040
1131160483266
1213728069300
13778c20292b
143c79761864
152162634260
hex12be4f2470

80502269040 has 160 divisors (see below), whose sum is σ = 277422868800. Its totient is φ = 21456645120.

The previous prime is 80502269033. The next prime is 80502269087. The reversal of 80502269040 is 4096220508.

It is a happy number.

80502269040 is a `hidden beast` number, since 8 + 0 + 502 + 26 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80502268986 and 80502269004.

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, 4979370 + ... + 4995510.

It is an arithmetic number, because the mean of its divisors is an integer number (1733892930).

Almost surely, 280502269040 is an apocalyptic number.

80502269040 is a gapful number since it is divisible by the number (80) 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 80502269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138711434400).

80502269040 is an abundant number, since it is smaller than the sum of its proper divisors (196920599760).

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

80502269040 is a wasteful number, since it uses less digits than its factorization.

80502269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18472 (or 18460 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 80502269040 its reverse (4096220508), we get a palindrome (84598489548).

The spelling of 80502269040 in words is "eighty billion, five hundred two million, two hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2309 4618 6927 9236 11545 13854 16141 18472 20781 23090 27708 32282 34635 36944 41562 46180 48423 55416 62343 64564 69270 80705 83124 92360 96846 103905 110832 124686 129128 138540 145269 161410 166248 184720 193692 207810 242115 249372 258256 277080 290538 311715 322820 332496 387384 415620 435807 484230 498744 554160 581076 623430 645640 726345 774768 831240 871614 968460 997488 1162152 1246860 1291280 1452690 1662480 1743228 1936920 2179035 2324304 2493720 2905380 3486456 3873840 4358070 4987440 5810760 6972912 8716140 11621520 17432280 34864560 37269569 74539138 111808707 149078276 186347845 223617414 298156552 335426121 372695690 447234828 559043535 596313104 670852242 745391380 894469656 1006278363 1118087070 1341704484 1490782760 1677130605 1788939312 2012556726 2236174140 2683408968 2981565520 3354261210 4025113452 4472348280 5031391815 5366817936 6708522420 8050226904 8944696560 10062783630 13417044840 16100453808 20125567260 26834089680 40251134520 80502269040