Search a number
-
+
66075253258194 = 23219474110691381
BaseRepresentation
bin11110000011000010101111…
…11111111011011111010010
322122221201210000012200020100
433001201113333323133102
532130034104313230234
6352310315143553230
716626531241536045
oct1701412777733722
9278851700180210
1066075253258194
111a0653a2982224
1274b19b075b816
132ab3b3c7c7c1b
1412460b8ac6c5c
15798b8042c399
hex3c1857ffb7d2

66075253258194 has 48 divisors (see below), whose sum is σ = 153904285342080. Its totient is φ = 20421914775840.

The previous prime is 66075253258169. The next prime is 66075253258219. The reversal of 66075253258194 is 49185235257066.

66075253258194 is a `hidden beast` number, since 6 + 6 + 0 + 7 + 5 + 2 + 532 + 5 + 8 + 1 + 94 = 666.

It is an interprime number because it is at equal distance from previous prime (66075253258169) and next prime (66075253258219).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2055329617 + ... + 2055361764.

It is an arithmetic number, because the mean of its divisors is an integer number (3206339277960).

It is a 1-persistent number, because it is pandigital, but 2⋅66075253258194 = 132150506516388 is not.

Almost surely, 266075253258194 is an apocalyptic number.

66075253258194 is an abundant number, since it is smaller than the sum of its proper divisors (87829032083886).

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

66075253258194 is a wasteful number, since it uses less digits than its factorization.

66075253258194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110691455 (or 4110691452 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 66075253258194 in words is "sixty-six trillion, seventy-five billion, two hundred fifty-three million, two hundred fifty-eight thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 5358 8037 16074 4110691381 8221382762 12332074143 24664148286 36996222429 73992444858 78103136239 156206272478 193202494907 234309408717 386404989814 468618817434 579607484721 702928226151 1159214969442 1405856452302 1738822454163 3477644908326 3670847403233 7341694806466 11012542209699 22025084419398 33037626629097 66075253258194