Search a number
-
+
465882401312 = 25173676593541
BaseRepresentation
bin1101100011110001100…
…00010100101000100000
31122112112010221010100022
412301320300110220200
530113111343320222
6554005020413012
745442000033526
oct6617060245040
91575463833308
10465882401312
1116a641519649
127635b0a7168
1334c1799b363
1418797db2316
15c1ba7a5042
hex6c78c14a20

465882401312 has 96 divisors (see below), whose sum is σ = 975558608640. Its totient is φ = 218247966720.

The previous prime is 465882401291. The next prime is 465882401321. The reversal of 465882401312 is 213104288564.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131566262 + ... + 131569802.

It is an arithmetic number, because the mean of its divisors is an integer number (10162068840).

Almost surely, 2465882401312 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 465882401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487779304320).

465882401312 is an abundant number, since it is smaller than the sum of its proper divisors (509676207328).

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

465882401312 is a wasteful number, since it uses less digits than its factorization.

465882401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

Adding to 465882401312 its reverse (213104288564), we get a palindrome (678986689876).

The spelling of 465882401312 in words is "four hundred sixty-five billion, eight hundred eighty-two million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 367 544 659 734 1318 1468 2636 2936 3541 5272 5872 6239 7082 10544 11203 11744 12478 14164 21088 22406 24956 28328 44812 49912 56656 60197 89624 99824 113312 120394 179248 199648 240788 241853 358496 481576 483706 963152 967412 1299547 1926304 1934824 2333519 2599094 3869648 4111501 4667038 5198188 7739296 8223002 9334076 10396376 16446004 18668152 20792752 22092299 32892008 37336304 39669823 41585504 44184598 65784016 74672608 79339646 88369196 131568032 158679292 176738392 317358584 353476784 634717168 706953568 856401473 1269434336 1712802946 3425605892 6851211784 13702423568 14558825041 27404847136 29117650082 58235300164 116470600328 232941200656 465882401312