Search a number
-
+
4123189376 = 27291110773
BaseRepresentation
bin1111010111000010…
…1110000010000000
3101122100111201111122
43311300232002000
531421014030001
61521050131412
7204114350165
oct36560560200
911570451448
104123189376
111826484229
12970a20b68
135092c4237
142b186006c
15191eaab1b
hexf5c2e080

4123189376 has 32 divisors (see below), whose sum is σ = 8497421100. Its totient is φ = 1990503424.

The previous prime is 4123189361. The next prime is 4123189393. The reversal of 4123189376 is 6739813214.

It can be written as a sum of positive squares in 2 ways, for example, as 3989185600 + 134003776 = 63160^2 + 11576^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 551675 + ... + 559098.

Almost surely, 24123189376 is an apocalyptic number.

It is an amenable number.

4123189376 is an abundant number, since it is smaller than the sum of its proper divisors (4374231724).

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

4123189376 is a wasteful number, since it uses less digits than its factorization.

4123189376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110816 (or 1110804 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 4123189376 is about 64212.0656574759. The cubic root of 4123189376 is about 1603.5324785907.

The spelling of 4123189376 in words is "four billion, one hundred twenty-three million, one hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 1110773 2221546 4443092 8886184 17772368 32212417 35544736 64424834 71089472 128849668 142178944 257699336 515398672 1030797344 2061594688 4123189376