Search a number
-
+
84682603660 = 22519761292837
BaseRepresentation
bin100111011011101111…
…0011111110010001100
322002120200020222122011
41032313132133302030
52341412221304120
6102522550031004
76055341153214
oct1166736376214
9262520228564
1084682603660
1132a06138566
12144b4048464
137ca72b4605
144154a19244
15230962bc5a
hex13b779fc8c

84682603660 has 48 divisors (see below), whose sum is σ = 187439747040. Its totient is φ = 32047971840.

The previous prime is 84682603651. The next prime is 84682603661. The reversal of 84682603660 is 6630628648.

It is a happy number.

It is a super-2 number, since 2×846826036602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84682603661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142762 + ... + 435598.

It is an arithmetic number, because the mean of its divisors is an integer number (3904994730).

Almost surely, 284682603660 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 84682603660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93719873520).

84682603660 is an abundant number, since it is smaller than the sum of its proper divisors (102757143380).

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

84682603660 is a wasteful number, since it uses less digits than its factorization.

84682603660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293626 (or 293624 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 84682603660 in words is "eighty-four billion, six hundred eighty-two million, six hundred three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 761 1522 3044 3805 7610 14459 15220 28918 57836 72295 144590 289180 292837 585674 1171348 1464185 2928370 5563903 5856740 11127806 22255612 27819515 55639030 111278060 222848957 445697914 891395828 1114244785 2228489570 4234130183 4456979140 8468260366 16936520732 21170650915 42341301830 84682603660