Search a number
-
+
674677292112 = 243317437130091
BaseRepresentation
bin10011101000101011110…
…01100111110001010000
32101111110102100112221000
421310111321213301100
542023214341321422
61233535323502000
766513063234555
oct11642571476120
92344412315830
10674677292112
1124014681943a
12aa910087900
134b811114b15
1424924156a2c
151283addccac
hex9d15e67c50

674677292112 has 320 divisors, whose sum is σ = 2127798097920. Its totient is φ = 203822438400.

The previous prime is 674677292111. The next prime is 674677292273. The reversal of 674677292112 is 211292776476.

674677292112 is a `hidden beast` number, since 67 + 467 + 7 + 2 + 9 + 2 + 112 = 666.

674677292112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674677292111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22406187 + ... + 22436277.

It is an arithmetic number, because the mean of its divisors is an integer number (6649369056).

Almost surely, 2674677292112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674677292112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063899048960).

674677292112 is an abundant number, since it is smaller than the sum of its proper divisors (1453120805808).

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

674677292112 is a wasteful number, since it uses less digits than its factorization.

674677292112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30239 (or 30227 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 674677292112 in words is "six hundred seventy-four billion, six hundred seventy-seven million, two hundred ninety-two thousand, one hundred twelve".