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916319121540 = 2235311051468739
BaseRepresentation
bin11010101010110001110…
…00000011000010000100
310020121011212002100111020
431111120320003002010
5110003110143342130
61540541242511140
7123126146010234
oct15253070030204
93217155070436
10916319121540
1132367728a3a9
121297095054b0
13685406a6744
14324c88a7cc4
1518c8005be10
hexd558e03084

916319121540 has 96 divisors (see below), whose sum is σ = 2650983444480. Its totient is φ = 236243952000.

The previous prime is 916319121521. The next prime is 916319121593. The reversal of 916319121540 is 45121913619.

It is a junction number, because it is equal to n+sod(n) for n = 916319121492 and 916319121501.

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, 1720491 + ... + 2189229.

It is an arithmetic number, because the mean of its divisors is an integer number (27614410880).

Almost surely, 2916319121540 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 916319121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325491722240).

916319121540 is an abundant number, since it is smaller than the sum of its proper divisors (1734664322940).

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

916319121540 is a wasteful number, since it uses less digits than its factorization.

916319121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469833 (or 469831 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 916319121540 in words is "nine hundred sixteen billion, three hundred nineteen million, one hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1051 1860 2102 3153 4204 5255 6306 10510 12612 15765 21020 31530 32581 63060 65162 97743 130324 162905 195486 325810 390972 468739 488715 651620 937478 977430 1406217 1874956 1954860 2343695 2812434 4687390 5624868 7031085 9374780 14062170 14530909 28124340 29061818 43592727 58123636 72654545 87185454 145309090 174370908 217963635 290618180 435927270 492644689 871854540 985289378 1477934067 1970578756 2463223445 2955868134 4926446890 5911736268 7389670335 9852893780 14779340670 15271985359 29558681340 30543970718 45815956077 61087941436 76359926795 91631912154 152719853590 183263824308 229079780385 305439707180 458159560770 916319121540