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676884441240 = 23355789111779
BaseRepresentation
bin10011101100110010111…
…01001110100010011000
32101201011020111100100000
421312121131032202120
542042224404104430
61234542330413000
766621553550640
oct11663135164230
92351136440300
10676884441240
11241079691227
12ab227291160
134baa347a517
1424a93335520
1512919a6ce60
hex9d9974e898

676884441240 has 384 divisors, whose sum is σ = 2636577216000. Its totient is φ = 152976688128.

The previous prime is 676884441227. The next prime is 676884441257. The reversal of 676884441240 is 42144488676.

676884441240 is a `hidden beast` number, since 6 + 76 + 8 + 8 + 444 + 124 + 0 = 666.

676884441240 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5999671 + ... + 6111449.

It is an arithmetic number, because the mean of its divisors is an integer number (6866086500).

Almost surely, 2676884441240 is an apocalyptic number.

676884441240 is a gapful number since it is divisible by the number (60) 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 676884441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318288608000).

676884441240 is an abundant number, since it is smaller than the sum of its proper divisors (1959692774760).

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

676884441240 is a wasteful number, since it uses less digits than its factorization.

676884441240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111901 (or 111885 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 676884441240 in words is "six hundred seventy-six billion, eight hundred eighty-four million, four hundred forty-one thousand, two hundred forty".