Search a number
-
+
89654130000 = 243254996157
BaseRepresentation
bin101001101111111001…
…1010111010101010000
322120102011001200200100
41103133303113111100
52432102424130000
6105104143052400
76322466350131
oct1233763272520
9276364050610
1089654130000
1135027467916
1215460ba1100
1385ba283b86
1444a6dc7c88
1524ead0ba00
hex14dfcd7550

89654130000 has 150 divisors (see below), whose sum is σ = 313533757394. Its totient is φ = 23907744000.

The previous prime is 89654129993. The next prime is 89654130023. The reversal of 89654130000 is 3145698.

89654130000 is a `hidden beast` number, since 89 + 6 + 541 + 30 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 23541378624 + 66112751376 = 153432^2 + 257124^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 408079 + ... + 588078.

Almost surely, 289654130000 is an apocalyptic number.

89654130000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89654130000 is an abundant number, since it is smaller than the sum of its proper divisors (223879627394).

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

89654130000 is a wasteful number, since it uses less digits than its factorization.

89654130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996191 (or 996167 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 89654130000 its reverse (3145698), we get a palindrome (89657275698).

The spelling of 89654130000 in words is "eighty-nine billion, six hundred fifty-four million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 996157 1992314 2988471 3984628 4980785 5976942 7969256 8965413 9961570 11953884 14942355 15938512 17930826 19923140 23907768 24903925 29884710 35861652 39846280 44827065 47815536 49807850 59769420 71723304 74711775 79692560 89654130 99615700 119538840 124519625 143446608 149423550 179308260 199231400 224135325 239077680 249039250 298847100 358616520 373558875 398462800 448270650 498078500 597694200 622598125 717233040 747117750 896541300 996157000 1120676625 1195388400 1245196250 1494235500 1793082600 1867794375 1992314000 2241353250 2490392500 2988471000 3586165200 3735588750 4482706500 4980785000 5603383125 5976942000 7471177500 8965413000 9961570000 11206766250 14942355000 17930826000 22413532500 29884710000 44827065000 89654130000