Search a number
-
+
23442100166166 = 231117110318942101
BaseRepresentation
bin1010101010010000010100…
…00011011001111000010110
310002000001011021012011222020
411111020022003121320112
511033033410120304131
6121505052510314010
74636431044466153
oct525101203317026
9102001137164866
1023442100166166
117518814456070
12276729bab8906
13101077164cba6
145b08647b522a
152a9bb2056996
hex15520a0d9e16

23442100166166 has 64 divisors (see below), whose sum is σ = 54204112935936. Its totient is φ = 6679742144000.

The previous prime is 23442100166159. The next prime is 23442100166189. The reversal of 23442100166166 is 66166100124432.

It is a super-2 number, since 2×234421001661662 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8233485 + ... + 10708616.

It is an arithmetic number, because the mean of its divisors is an integer number (846939264624).

Almost surely, 223442100166166 is an apocalyptic number.

23442100166166 is an abundant number, since it is smaller than the sum of its proper divisors (30762012769770).

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

23442100166166 is a wasteful number, since it uses less digits than its factorization.

23442100166166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18943237.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 23442100166166 in words is "twenty-three trillion, four hundred forty-two billion, one hundred million, one hundred sixty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1103 1122 2206 3309 6618 12133 18751 24266 36399 37502 56253 72798 112506 206261 412522 618783 1237566 18942101 37884202 56826303 113652606 208363111 322015717 416726222 625089333 644031434 966047151 1250178666 1932094302 3542172887 7084345774 10626518661 20893137403 21253037322 41786274806 62679412209 125358824418 229824511433 355183335851 459649022866 689473534299 710366671702 1065550007553 1378947068598 2131100015106 3907016694361 7814033388722 11721050083083 23442100166166