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628201180096 = 2671402234777
BaseRepresentation
bin10010010010000111011…
…01010100101111000000
32020001111102100102211221
421021003231110233000
540243024000230341
61200331443244424
763246260632660
oct11110355245700
92201442312757
10628201180096
11222467209606
12a18bb379714
1347315456719
14225958421a0
151151aac2ed1
hex9243b54bc0

628201180096 has 28 divisors (see below), whose sum is σ = 1424670534448. Its totient is φ = 269229076992.

The previous prime is 628201180073. The next prime is 628201180099. The reversal of 628201180096 is 690081102826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628201180099) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 701116941 + ... + 701117836.

It is an arithmetic number, because the mean of its divisors is an integer number (50881090516).

Almost surely, 2628201180096 is an apocalyptic number.

It is an amenable number.

628201180096 is an abundant number, since it is smaller than the sum of its proper divisors (796469354352).

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

628201180096 is a wasteful number, since it uses less digits than its factorization.

628201180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402234796 (or 1402234786 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 628201180096 in words is "six hundred twenty-eight billion, two hundred one million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1402234777 2804469554 5608939108 9815643439 11217878216 19631286878 22435756432 39262573756 44871512864 78525147512 89743025728 157050295024 314100590048 628201180096