Search a number
-
+
455051072300 = 225211503822431
BaseRepresentation
bin1101001111100110010…
…10000101001100101100
31121111120021212121012112
412213303022011030230
524423421033303200
6545014135423152
744606406203036
oct6476312051454
91544507777175
10455051072300
11165a93515870
1274237824ab8
1333bac9ac136
141804b68ac56
15bc84932535
hex69f328532c

455051072300 has 72 divisors (see below), whose sum is σ = 1079372915712. Its totient is φ = 165143944000.

The previous prime is 455051072299. The next prime is 455051072321. The reversal of 455051072300 is 3270150554.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142085 + ... + 964515.

It is an arithmetic number, because the mean of its divisors is an integer number (14991290496).

Almost surely, 2455051072300 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 455051072300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539686457856).

455051072300 is an abundant number, since it is smaller than the sum of its proper divisors (624321843412).

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

455051072300 is a wasteful number, since it uses less digits than its factorization.

455051072300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822959 (or 822952 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The spelling of 455051072300 in words is "four hundred fifty-five billion, fifty-one million, seventy-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 503 550 1006 1100 2012 2515 5030 5533 10060 11066 12575 22132 25150 27665 50300 55330 110660 138325 276650 553300 822431 1644862 3289724 4112155 8224310 9046741 16448620 18093482 20560775 36186964 41121550 45233705 82243100 90467410 180934820 226168525 413682793 452337050 827365586 904674100 1654731172 2068413965 4136827930 4550510723 8273655860 9101021446 10342069825 18202042892 20684139650 22752553615 41368279300 45505107230 91010214460 113762768075 227525536150 455051072300