Search a number
-
+
3149786112 = 210311175483
BaseRepresentation
bin1011101110111101…
…1110110000000000
322010111212201020220
42323233132300000
522422321123422
61240314503040
7141024511614
oct27357366000
98114781226
103149786112
111376a76a20
1273aa34a80
133b2739c85
1421c477344
151367cee5c
hexbbbdec00

3149786112 has 176 divisors, whose sum is σ = 9699046272. Its totient is φ = 898170880.

The previous prime is 3149786063. The next prime is 3149786137. The reversal of 3149786112 is 2116879413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571723 + ... + 577205.

Almost surely, 23149786112 is an apocalyptic number.

3149786112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3149786112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849523136).

3149786112 is an abundant number, since it is smaller than the sum of its proper divisors (6549260160).

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

3149786112 is a wasteful number, since it uses less digits than its factorization.

3149786112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5516 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 3149786112 is about 56122.9553035119. The cubic root of 3149786112 is about 1465.8640295217.

The spelling of 3149786112 in words is "three billion, one hundred forty-nine million, seven hundred eighty-six thousand, one hundred twelve".