Search a number
-
+
40556813166 = 23219353335941
BaseRepresentation
bin100101110001010111…
…111101101101101110
310212200110210120120100
4211301113331231232
51131030021010131
630344225131530
72634015136542
oct456127755556
9125613716510
1040556813166
111622229a011
127a3a489ba6
133a94539bcc
141d6a511a22
1510c58237e6
hex9715fdb6e

40556813166 has 48 divisors (see below), whose sum is σ = 92760305040. Its totient is φ = 12771095040.

The previous prime is 40556813137. The next prime is 40556813183. The reversal of 40556813166 is 66131865504.

40556813166 is a `hidden beast` number, since 4 + 0 + 556 + 8 + 1 + 31 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47245 + ... + 288696.

It is an arithmetic number, because the mean of its divisors is an integer number (1932506355).

Almost surely, 240556813166 is an apocalyptic number.

40556813166 is an abundant number, since it is smaller than the sum of its proper divisors (52203491874).

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

40556813166 is a wasteful number, since it uses less digits than its factorization.

40556813166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336321 (or 336318 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 40556813166 in words is "forty billion, five hundred fifty-six million, eight hundred thirteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 353 706 1059 2118 3177 6354 6707 13414 20121 40242 60363 120726 335941 671882 1007823 2015646 3023469 6046938 6382879 12765758 19148637 38297274 57445911 114891822 118587173 237174346 355761519 711523038 1067284557 2134569114 2253156287 4506312574 6759468861 13518937722 20278406583 40556813166