Search a number
-
+
8280806868820 = 225311011237106903
BaseRepresentation
bin111100010000000011010…
…0011010100011101010100
31002022122012200001100022001
41320200012203110131110
52041133043024300240
625340052233445044
71513161054010123
oct170400643243524
932278180040261
108280806868820
112702963662a52
12b18a61570784
13480b522645c5
14208b16731aba
15e560963a89a
hex788068d4754

8280806868820 has 96 divisors (see below), whose sum is σ = 18143206373376. Its totient is φ = 3171140928000.

The previous prime is 8280806868811. The next prime is 8280806868821. The reversal of 8280806868820 is 288686080828.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8280806868821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77407489 + ... + 77514391.

It is an arithmetic number, because the mean of its divisors is an integer number (188991733056).

Almost surely, 28280806868820 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 8280806868820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9071603186688).

8280806868820 is an abundant number, since it is smaller than the sum of its proper divisors (9862399504556).

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

8280806868820 is a wasteful number, since it uses less digits than its factorization.

8280806868820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108281 (or 108279 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 64.

The spelling of 8280806868820 in words is "eight trillion, two hundred eighty billion, eight hundred six million, eight hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 1237 2020 2474 3131 4948 6185 6262 12370 12524 15655 24740 31310 38347 62620 76694 106903 124937 153388 191735 213806 249874 383470 427612 499748 534515 624685 766940 1069030 1249370 2138060 2498740 3313993 3873047 6627986 7746094 10797203 13255972 15492188 16569965 19365235 21594406 33139930 38730470 43188812 53986015 66279860 77460940 107972030 132239011 215944060 264478022 334713293 528956044 661195055 669426586 1322390110 1338853172 1673566465 2644780220 3347132930 4099409341 6694265860 8198818682 13356140111 16397637364 20497046705 26712280222 40994093410 53424560444 66780700555 81988186820 133561401110 267122802220 414040343441 828080686882 1656161373764 2070201717205 4140403434410 8280806868820