Search a number
-
+
628161066500 = 2253111011130803
BaseRepresentation
bin10010010010000010101…
…00010011011000000100
32020001101121212110100012
421021001110103120010
540242433213112000
61200323451405352
763245262652502
oct11110124233004
92201347773305
10628161066500
11222446600680
12a18a9a53858
134730a050276
142259039d672
15115172ec735
hex9241513604

628161066500 has 96 divisors (see below), whose sum is σ = 1511441672832. Its totient is φ = 226160400000.

The previous prime is 628161066469. The next prime is 628161066517. The reversal of 628161066500 is 5660161826.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9902 + ... + 1120901.

It is an arithmetic number, because the mean of its divisors is an integer number (15744184092).

Almost surely, 2628161066500 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 628161066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755720836416).

628161066500 is an abundant number, since it is smaller than the sum of its proper divisors (883280606332).

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

628161066500 is a wasteful number, since it uses less digits than its factorization.

628161066500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130934 (or 1130922 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 628161066500 in words is "six hundred twenty-eight billion, one hundred sixty-one million, sixty-six thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 125 202 220 250 275 404 500 505 550 1010 1100 1111 1375 2020 2222 2525 2750 4444 5050 5500 5555 10100 11110 12625 22220 25250 27775 50500 55550 111100 138875 277750 555500 1130803 2261606 4523212 5654015 11308030 12438833 22616060 24877666 28270075 49755332 56540150 62194165 113080300 114211103 124388330 141350375 228422206 248776660 282700750 310970825 456844412 565401500 571055515 621941650 1142111030 1243883300 1256322133 1554854125 2284222060 2512644266 2855277575 3109708250 5025288532 5710555150 6219416500 6281610665 11421110300 12563221330 14276387875 25126442660 28552775750 31408053325 57105551500 62816106650 125632213300 157040266625 314080533250 628161066500