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674361728020 = 2251097193315901
BaseRepresentation
bin10011101000000110001…
…01110101110000010100
32101110122102120020101001
421310003011311300110
542022043100244040
61233444132113044
766502212052621
oct11640305656024
92343572506331
10674361728020
1123aaa4684472
12aa842465784
134b7909279c6
14248d4291348
151281d35759a
hex9d03175c14

674361728020 has 48 divisors (see below), whose sum is σ = 1418273046288. Its totient is φ = 269342438400.

The previous prime is 674361727979. The next prime is 674361728063. The reversal of 674361728020 is 20827163476.

It can be written as a sum of positive squares in 8 ways, for example, as 45630086544 + 628731641476 = 213612^2 + 792926^2 .

It is a congruent number.

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, 42402070 + ... + 42417970.

It is an arithmetic number, because the mean of its divisors is an integer number (29547355131).

Almost surely, 2674361728020 is an apocalyptic number.

It is an amenable number.

674361728020 is an abundant number, since it is smaller than the sum of its proper divisors (743911318268).

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

674361728020 is a wasteful number, since it uses less digits than its factorization.

674361728020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940 (or 18938 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 674361728020 in words is "six hundred seventy-four billion, three hundred sixty-one million, seven hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 1097 1933 2194 3866 4388 5485 7732 9665 10970 15901 19330 21940 31802 38660 63604 79505 159010 318020 2120501 4241002 8482004 10602505 17443397 21205010 30736633 34886794 42410020 61473266 69773588 87216985 122946532 153683165 174433970 307366330 348867940 614732660 33718086401 67436172802 134872345604 168590432005 337180864010 674361728020