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81780749824 = 2929311271399
BaseRepresentation
bin100110000101010000…
…0110011011000000000
321211002102220112112011
41030022200303120000
52314441332443244
6101323005142304
75623413622024
oct1141240633000
9254072815464
1081780749824
1131757112854
1213a2425a994
137934044b37
143d5b480384
1521d99c3434
hex130a833600

81780749824 has 160 divisors (see below), whose sum is σ = 175988736000. Its totient is φ = 37878865920.

The previous prime is 81780749821. The next prime is 81780749887. The reversal of 81780749824 is 42894708718.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81780749821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58455877 + ... + 58457275.

It is an arithmetic number, because the mean of its divisors is an integer number (1099929600).

Almost surely, 281780749824 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 81780749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994368000).

81780749824 is an abundant number, since it is smaller than the sum of its proper divisors (94207986176).

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

81780749824 is a wasteful number, since it uses less digits than its factorization.

81780749824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 58.

The spelling of 81780749824 in words is "eighty-one billion, seven hundred eighty million, seven hundred forty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 127 128 232 248 254 256 464 496 508 512 899 928 992 1016 1399 1798 1856 1984 2032 2798 3596 3683 3712 3937 3968 4064 5596 7192 7366 7424 7874 7936 8128 11192 14384 14732 14848 15748 15872 16256 22384 28768 29464 31496 32512 40571 43369 44768 57536 58928 62992 65024 81142 86738 89536 114173 115072 117856 125984 162284 173476 177673 179072 228346 230144 235712 251968 324568 346952 355346 358144 456692 460288 471424 503936 649136 693904 710692 716288 913384 942848 1007872 1257701 1298272 1387808 1421384 1826768 1885696 2015744 2515402 2596544 2775616 2842768 3653536 5030804 5152517 5193088 5507863 5551232 5685536 7307072 10061608 10305034 10386176 11015726 11102464 11371072 14614144 20123216 20610068 20772352 22031452 22204928 22742144 29228288 40246432 41220136 44062904 45484288 58456576 80492864 82440272 88125808 90968576 159728027 160985728 164880544 176251616 319456054 321971456 329761088 352503232 638912108 643942912 659522176 705006464 1277824216 1319044352 1410012928 2555648432 2638088704 2820025856 5111296864 10222593728 20445187456 40890374912 81780749824