Search a number
-
+
14822002068012 = 22371694330369
BaseRepresentation
bin1101011110110000010000…
…1010110000101000101100
31221110222011210211120000000
43113230010022300220230
53420320430012134022
651305044520104300
73056566012553346
oct327540412605054
957428153746000
1014822002068012
1147a4a80838767
1217b472a605090
1383692a2c7979
14393562952296
151aa84aacb6ac
hexd7b042b0a2c

14822002068012 has 48 divisors (see below), whose sum is σ = 38901825295200. Its totient is φ = 4940667353088.

The previous prime is 14822002067959. The next prime is 14822002068037. The reversal of 14822002068012 is 21086020022841.

14822002068012 is a `hidden beast` number, since 148 + 220 + 0 + 206 + 80 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847156437 + ... + 847173932.

It is an arithmetic number, because the mean of its divisors is an integer number (810454693650).

Almost surely, 214822002068012 is an apocalyptic number.

14822002068012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14822002068012 is an abundant number, since it is smaller than the sum of its proper divisors (24079823227188).

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

14822002068012 is an equidigital number, since it uses as much as digits as its factorization.

14822002068012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694330394 (or 1694330374 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14822002068012 in words is "fourteen trillion, eight hundred twenty-two billion, two million, sixty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 1694330369 3388660738 5082991107 6777321476 10165982214 15248973321 20331964428 30497946642 45746919963 60995893284 91493839926 137240759889 182987679852 274481519778 411722279667 548963039556 823444559334 1235166839001 1646889118668 2470333678002 3705500517003 4940667356004 7411001034006 14822002068012