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64313555531346 = 23311195698525211
BaseRepresentation
bin11101001111110001010101…
…01000011011011001010010
322102201022112021010120212000
432213320222220123121102
531412203130204000341
6344441123423414430
716355333601121602
oct1647705250333122
9272638467116760
1064313555531346
11195462534a0340
127268493754416
1329b69859a3594
1411c4b15232c02
15767e233058b6
hex3a7e2aa1b652

64313555531346 has 64 divisors (see below), whose sum is σ = 164117526105600. Its totient is φ = 18463221680400.

The previous prime is 64313555531339. The next prime is 64313555531359.

64313555531346 is a `hidden beast` number, since 6 + 4 + 3 + 1 + 3 + 55 + 553 + 1 + 34 + 6 = 666.

64313555531346 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64313555531292 and 64313555531301.

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, 2849251320 + ... + 2849273891.

It is an arithmetic number, because the mean of its divisors is an integer number (2564336345400).

Almost surely, 264313555531346 is an apocalyptic number.

64313555531346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64313555531346 is an abundant number, since it is smaller than the sum of its proper divisors (99803970574254).

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

64313555531346 is a wasteful number, since it uses less digits than its factorization.

64313555531346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698525252 (or 5698525246 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 54.

The spelling of 64313555531346 in words is "sixty-four trillion, three hundred thirteen billion, five hundred fifty-five million, five hundred thirty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 11286 5698525211 11397050422 17095575633 34191151266 51286726899 62683777321 102573453798 108271979009 125367554642 153860180697 188051331963 216543958018 307720361394 324815937027 376102663926 564153995889 649631874054 974447811081 1128307991778 1190991769099 1692461987667 1948895622162 2381983538198 2923343433243 3384923975334 3572975307297 5846686866486 7145950614594 10718925921891 21437851843782 32156777765673 64313555531346