Search a number
-
+
5135603453000 = 235371191337811
BaseRepresentation
bin100101010111011100111…
…0100011100110001001000
3200011221220000221021111022
41022232321310130301020
51133120203440444000
614531132541052012
71040015020044146
oct112567164346110
920157800837438
105135603453000
1116aaaa729a889
126ab393257008
132b3392b31b57
1413a7c9118596
158d8c748c585
hex4abb9d1cc48

5135603453000 has 128 divisors (see below), whose sum is σ = 12193262864640. Its totient is φ = 2024196160000.

The previous prime is 5135603452999. The next prime is 5135603453003. The reversal of 5135603453000 is 3543065315.

It is not an unprimeable number, because it can be changed into a prime (5135603453003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135804095 + ... + 135841905.

It is an arithmetic number, because the mean of its divisors is an integer number (95259866130).

Almost surely, 25135603453000 is an apocalyptic number.

5135603453000 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 5135603453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096631432320).

5135603453000 is an abundant number, since it is smaller than the sum of its proper divisors (7057659411640).

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

5135603453000 is a wasteful number, since it uses less digits than its factorization.

5135603453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39816 (or 39802 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 5135603453000 in words is "five trillion, one hundred thirty-five billion, six hundred three million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 1913 2840 3550 3826 7100 7652 8875 9565 14200 15304 17750 19130 35500 37811 38260 47825 71000 75622 76520 95650 135823 151244 189055 191300 239125 271646 302488 378110 382600 478250 543292 679115 756220 945275 956500 1086584 1358230 1512440 1890550 1913000 2684581 2716460 3395575 3781100 4726375 5369162 5432920 6791150 7562200 9452750 10738324 13422905 13582300 16977875 18905500 21476648 26845810 27164600 33955750 37811000 53691620 67114525 67911500 72332443 107383240 134229050 135823000 144664886 268458100 289329772 335572625 361662215 536916200 578659544 671145250 723324430 1342290500 1446648860 1808311075 2684581000 2893297720 3616622150 5135603453 7233244300 9041555375 10271206906 14466488600 18083110750 20542413812 25678017265 36166221500 41084827624 51356034530 72332443000 102712069060 128390086325 205424138120 256780172650 513560345300 641950431625 1027120690600 1283900863250 2567801726500 5135603453000