Search a number
-
+
674334433476 = 2233112327778887
BaseRepresentation
bin10011101000000010111…
…01101110000011000100
32101110120112012112022000
421310001131232003010
542022014103332401
61233441315105300
766501431052654
oct11640135560304
92343515175260
10674334433476
1123aa902316a0
12aa8352a2230
134b78808c2a2
14248d07c8364
151281ac65186
hex9d0176e0c4

674334433476 has 192 divisors, whose sum is σ = 1991071272960. Its totient is φ = 195366885120.

The previous prime is 674334433457. The next prime is 674334433481.

674334433476 is a `hidden beast` number, since 6 + 74 + 33 + 44 + 33 + 476 = 666.

674334433476 is nontrivially palindromic in base 10.

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

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 63 ways as a sum of consecutive naturals, for example, 75874305 + ... + 75883191.

It is an arithmetic number, because the mean of its divisors is an integer number (10370162880).

Almost surely, 2674334433476 is an apocalyptic number.

674334433476 is a gapful number since it is divisible by the number (66) 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 674334433476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995535636480).

674334433476 is an abundant number, since it is smaller than the sum of its proper divisors (1316736839484).

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

674334433476 is a wasteful number, since it uses less digits than its factorization.

674334433476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11711 (or 11703 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 54.

The spelling of 674334433476 in words is "six hundred seventy-four billion, three hundred thirty-four million, four hundred thirty-three thousand, four hundred seventy-six".