Search a number
-
+
45013335332520 = 23352691571887629
BaseRepresentation
bin10100011110000011110111…
…10111001101011010101000
312220101020021201211012221010
422033001323313031122220
521344444302321120040
6235422501335143520
712324051261211302
oct1217017367153250
9186336251735833
1045013335332520
11133850593332a5
12506ba76b14ba0
131c1697c34c719
14b1892ad5a972
15530d7802ce80
hex28f07bdcd6a8

45013335332520 has 128 divisors (see below), whose sum is σ = 135628443792000. Its totient is φ = 11951307432960.

The previous prime is 45013335332489. The next prime is 45013335332573. The reversal of 45013335332520 is 2523353331054.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50268066 + ... + 51155694.

It is an arithmetic number, because the mean of its divisors is an integer number (1059597217125).

Almost surely, 245013335332520 is an apocalyptic number.

45013335332520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45013335332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67814221896000).

45013335332520 is an abundant number, since it is smaller than the sum of its proper divisors (90615108459480).

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

45013335332520 is a wasteful number, since it uses less digits than its factorization.

45013335332520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889483 (or 889479 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 39.

Adding to 45013335332520 its reverse (2523353331054), we get a palindrome (47536688663574).

The spelling of 45013335332520 in words is "forty-five trillion, thirteen billion, three hundred thirty-five million, three hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1571 1614 2152 2690 3142 3228 4035 4713 5380 6284 6456 7855 8070 9426 10760 12568 15710 16140 18852 23565 31420 32280 37704 47130 62840 94260 188520 422599 845198 887629 1267797 1690396 1775258 2112995 2535594 2662887 3380792 3550516 4225990 4438145 5071188 5325774 6338985 7101032 8451980 8876290 10142376 10651548 12677970 13314435 16903960 17752580 21303096 25355940 26628870 35505160 50711880 53257740 106515480 238772201 477544402 716316603 955088804 1193861005 1394465159 1432633206 1910177608 2387722010 2788930318 2865266412 3581583015 4183395477 4775444020 5577860636 5730532824 6972325795 7163166030 8366790954 9550888040 11155721272 13944651590 14326332060 16733581908 20916977385 27889303180 28652664120 33467163816 41833954770 55778606360 83667909540 167335819080 375111127771 750222255542 1125333383313 1500444511084 1875555638855 2250666766626 3000889022168 3751111277710 4501333533252 5626666916565 7502222555420 9002667066504 11253333833130 15004445110840 22506667666260 45013335332520