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5409588259000 = 235353701145603
BaseRepresentation
bin100111010111000010010…
…0101100010100010111000
3201011011002111200112001201
41032232010211202202320
51202112314043242000
615301044110223544
71065554432343052
oct116560445424270
921134074615051
105409588259000
1117a62145a9852
127344b81b4bb4
13303177cca333
14149b7b12c8d2
1595ab0c9596a
hex4eb849628b8

5409588259000 has 128 divisors (see below), whose sum is σ = 12915762050880. Its totient is φ = 2119965120000.

The previous prime is 5409588258989. The next prime is 5409588259001. The reversal of 5409588259000 is 9528859045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5409588259001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37080199 + ... + 37225801.

Almost surely, 25409588259000 is an apocalyptic number.

5409588259000 is a gapful number since it is divisible by the number (50) 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 5409588259000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457881025440).

5409588259000 is an abundant number, since it is smaller than the sum of its proper divisors (7506173791880).

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

5409588259000 is a wasteful number, since it uses less digits than its factorization.

5409588259000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146378 (or 146364 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 55.

The spelling of 5409588259000 in words is "five trillion, four hundred nine billion, five hundred eighty-eight million, two hundred fifty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 701 1000 1060 1325 1402 2120 2650 2804 3505 5300 5608 6625 7010 10600 13250 14020 17525 26500 28040 35050 37153 53000 70100 74306 87625 140200 145603 148612 175250 185765 291206 297224 350500 371530 582412 701000 728015 743060 928825 1164824 1456030 1486120 1857650 2912060 3640075 3715300 4644125 5824120 7280150 7430600 7716959 9288250 14560300 15433918 18200375 18576500 29120600 30867836 36400750 37153000 38584795 61735672 72801500 77169590 102067703 145603000 154339180 192923975 204135406 308678360 385847950 408270812 510338515 771695900 816541624 964619875 1020677030 1543391800 1929239750 2041354060 2551692575 3858479500 4082708120 5103385150 5409588259 7716959000 10206770300 10819176518 12758462875 20413540600 21638353036 25516925750 27047941295 43276706072 51033851500 54095882590 102067703000 108191765180 135239706475 216383530360 270479412950 540958825900 676198532375 1081917651800 1352397064750 2704794129500 5409588259000