Search a number
-
+
469145517925 = 52725355712973
BaseRepresentation
bin1101101001110110100…
…00000111111101100101
31122211221120001121211011
412310323100013331211
530141302223033200
6555304504342221
745615602051200
oct6647320077545
91584846047734
10469145517925
11170a66461437
1276b0ba74971
1335317a385a6
14189c750a937
15c30bebe5ba
hex6d3b407f65

469145517925 has 72 divisors (see below), whose sum is σ = 690777847656. Its totient is φ = 315039029760.

The previous prime is 469145517923. The next prime is 469145517949. The reversal of 469145517925 is 529715541964.

It can be written as a sum of positive squares in 12 ways, for example, as 342385308769 + 126760209156 = 585137^2 + 356034^2 .

It is not a de Polignac number, because 469145517925 - 21 = 469145517923 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 469145517925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469145517923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36156739 + ... + 36169711.

It is an arithmetic number, because the mean of its divisors is an integer number (9594136773).

Almost surely, 2469145517925 is an apocalyptic number.

It is an amenable number.

469145517925 is a deficient number, since it is larger than the sum of its proper divisors (221632329731).

469145517925 is a wasteful number, since it uses less digits than its factorization.

469145517925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13607 (or 13595 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 58.

The spelling of 469145517925 in words is "four hundred sixty-nine billion, one hundred forty-five million, five hundred seventeen thousand, nine hundred twenty-five".

Divisors: 1 5 7 25 35 49 53 175 245 265 371 557 1225 1325 1855 2597 2785 3899 9275 12973 12985 13925 19495 27293 29521 64865 64925 90811 97475 136465 147605 206647 324325 454055 635677 682325 687569 738025 1033235 1446529 2270275 3178385 3437845 4812983 5166175 7225961 7232645 15891925 17189225 24064915 33690881 36129805 36163225 50581727 120324575 168454405 180649025 252908635 354072089 382975933 842272025 1264543175 1770360445 1914879665 2680831531 8851802225 9574398325 13404157655 18765820717 67020788275 93829103585 469145517925