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116310515464 = 2311131793831483
BaseRepresentation
bin110110001010010100…
…1011001111100001000
3102010012212202101012001
41230110221121330020
53401200442443324
6125233214000344
711255166032503
oct1542451317410
9363185671161
10116310515464
1145366287850
121a6601a60b4
13ac77a05b20
1458b534213a
15305b119e44
hex1b14a59f08

116310515464 has 128 divisors (see below), whose sum is σ = 258486681600. Its totient is φ = 48369634560.

The previous prime is 116310515429. The next prime is 116310515549. The reversal of 116310515464 is 464515013611.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78428467 + ... + 78429949.

It is an arithmetic number, because the mean of its divisors is an integer number (2019427200).

Almost surely, 2116310515464 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 116310515464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129243340800).

116310515464 is an abundant number, since it is smaller than the sum of its proper divisors (142176166136).

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

116310515464 is a wasteful number, since it uses less digits than its factorization.

116310515464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 116310515464 in words is "one hundred sixteen billion, three hundred ten million, five hundred fifteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 179 286 358 383 572 716 766 1144 1432 1483 1532 1969 2327 2966 3064 3938 4213 4654 4979 5932 7876 8426 9308 9958 11864 15752 16313 16852 18616 19279 19916 25597 32626 33704 38558 39832 51194 54769 65252 68557 77116 102388 109538 130504 137114 154232 204776 212069 219076 265457 274228 424138 438152 530914 548456 567989 754127 848276 891241 1061828 1135978 1508254 1696552 1782482 2123656 2271956 2920027 3016508 3450941 3564964 4543912 5840054 6033016 6247879 6901882 7129928 7383857 9803651 11680108 12495758 13803764 14767714 19607302 23360216 24991516 27607528 29535428 37960351 39214604 49983032 59070856 75920702 78429208 81222427 101670031 151841404 162444854 203340062 303682808 324889708 406680124 649779416 813360248 1118370341 1321710403 2236740682 2643420806 4473481364 5286841612 8946962728 10573683224 14538814433 29077628866 58155257732 116310515464