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806104550450680 = 2351337235571778551
BaseRepresentation
bin1011011101001001011101011…
…1011000011010010111111000
310220201011211202010011222020221
42313102113113120122113320
51321124204104403410210
611534235152420025424
7331536063141350545
oct26722272730322770
93821154663158227
10806104550450680
11213939024699788
12764b0566b32274
13287a44435c70a0
141030b9501c1bcc
15632d968b861da
hex2dd25d761a5f8

806104550450680 has 128 divisors (see below), whose sum is σ = 2006130249406080. Its totient is φ = 289581860505600.

The previous prime is 806104550450677. The next prime is 806104550450711. The reversal of 806104550450680 is 86054055401608.

It is a super-2 number, since 2×8061045504506802 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 452347405 + ... + 454125955.

It is an arithmetic number, because the mean of its divisors is an integer number (15672892573485).

Almost surely, 2806104550450680 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 806104550450680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003065124703040).

806104550450680 is an abundant number, since it is smaller than the sum of its proper divisors (1200025698955400).

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

806104550450680 is a wasteful number, since it uses less digits than its factorization.

806104550450680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802169 (or 1802165 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 806104550450680 in words is "eight hundred six trillion, one hundred four billion, five hundred fifty million, four hundred fifty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 19240 23557 47114 94228 117785 188456 235570 306241 471140 612482 871609 942280 1224964 1531205 1743218 1778551 2449928 3062410 3486436 3557102 4358045 6124820 6972872 7114204 8716090 8892755 11330917 12249640 14228408 17432180 17785510 22661834 23121163 34864360 35571020 45323668 46242326 56654585 65806387 71142040 90647336 92484652 113309170 115605815 131612774 184969304 226618340 231211630 263225548 329031935 453236680 462423260 526451096 658063870 855483031 924846520 1316127740 1710966062 2632255480 3421932124 4277415155 6843864248 8554830310 17109660620 34219321240 41897325907 83794651814 167589303628 209486629535 335178607256 418973259070 544665236791 837946518140 1089330473582 1550201058559 1675893036280 2178660947164 2723326183955 3100402117118 4357321894328 5446652367910 6200804234236 7751005292795 10893304735820 12401608468472 15502010585590 20152613761267 21786609471640 31004021171180 40305227522534 62008042342360 80610455045068 100763068806335 161220910090136 201526137612670 403052275225340 806104550450680