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801468066732 = 2231719232390883
BaseRepresentation
bin10111010100110110011…
…10000010101110101100
32211121201200120020221120
423222123032002232230
5101112401311113412
61412104522100540
7111622061106654
oct13523316025654
92747650506846
10801468066732
1128999a913a93
1210b3b604a750
135a76916aa08
142ab11315364
1515cac12eb8c
hexba9b382bac

801468066732 has 144 divisors (see below), whose sum is σ = 2178881228160. Its totient is φ = 227849808384.

The previous prime is 801468066731. The next prime is 801468066743. The reversal of 801468066732 is 237660864108.

It is a super-2 number, since 2×8014680667322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (801468066731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854963 + ... + 2245845.

It is an arithmetic number, because the mean of its divisors is an integer number (15131119640).

Almost surely, 2801468066732 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 801468066732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089440614080).

801468066732 is an abundant number, since it is smaller than the sum of its proper divisors (1377413161428).

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

801468066732 is a wasteful number, since it uses less digits than its factorization.

801468066732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390972 (or 390947 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 801468066732 in words is "eight hundred one billion, four hundred sixty-eight million, sixty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 23 34 38 46 51 57 68 69 76 92 102 114 138 204 228 276 323 391 437 529 646 782 874 969 1058 1173 1292 1311 1564 1587 1748 1938 2116 2346 2622 3174 3876 4692 5244 6348 7429 8993 10051 14858 17986 20102 22287 26979 29716 30153 35972 40204 44574 53958 60306 89148 107916 120612 170867 341734 390883 512601 683468 781766 1025202 1172649 1563532 2050404 2345298 4690596 6645011 7426777 8990309 13290022 14853554 17980618 19935033 22280331 26580044 26970927 29707108 35961236 39870066 44560662 53941854 79740132 89121324 107883708 126255209 152835253 170815871 206777107 252510418 305670506 341631742 378765627 413554214 458505759 505020836 512447613 611341012 620331321 683263484 757531254 827108428 917011518 1024895226 1240662642 1515062508 1834023036 2049790452 2481325284 2903869807 3515210819 3928765033 5807739614 7030421638 7857530066 8711609421 10545632457 11615479228 11786295099 14060843276 15715060132 17423218842 21091264914 23572590198 34846437684 42182529828 47145180396 66789005561 133578011122 200367016683 267156022244 400734033366 801468066732