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20425542000 = 243534772431
BaseRepresentation
bin10011000001011101…
…010000100101110000
31221201111021001010120
4103001131100211300
5313312414321000
613214450130240
71322110146063
oct230135204560
957644231116
1020425542000
118731760026
123b60580980
131c068c0036
14dbaa188da
157e82c76a0
hex4c1750970

20425542000 has 160 divisors (see below), whose sum is σ = 67253981184. Its totient is φ = 5330848000.

The previous prime is 20425541977. The next prime is 20425542031. The reversal of 20425542000 is 24552402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 245785 + ... + 318215.

Almost surely, 220425542000 is an apocalyptic number.

20425542000 is a gapful number since it is divisible by the number (20) 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 20425542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33626990592).

20425542000 is an abundant number, since it is smaller than the sum of its proper divisors (46828439184).

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

20425542000 is a wasteful number, since it uses less digits than its factorization.

20425542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72504 (or 72488 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The spelling of 20425542000 in words is "twenty billion, four hundred twenty-five million, five hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 125 141 150 188 200 235 240 250 282 300 375 376 400 470 500 564 600 705 750 752 940 1000 1128 1175 1200 1410 1500 1880 2000 2256 2350 2820 3000 3525 3760 4700 5640 5875 6000 7050 9400 11280 11750 14100 17625 18800 23500 28200 35250 47000 56400 70500 72431 94000 141000 144862 217293 282000 289724 362155 434586 579448 724310 869172 1086465 1158896 1448620 1738344 1810775 2172930 2897240 3404257 3476688 3621550 4345860 5432325 5794480 6808514 7243100 8691720 9053875 10212771 10864650 13617028 14486200 17021285 17383440 18107750 20425542 21729300 27161625 27234056 28972400 34042570 36215500 40851084 43458600 51063855 54323250 54468112 68085140 72431000 81702168 85106425 86917200 102127710 108646500 136170280 144862000 163404336 170212850 204255420 217293000 255319275 272340560 340425700 408510840 425532125 434586000 510638550 680851400 817021680 851064250 1021277100 1276596375 1361702800 1702128500 2042554200 2553192750 3404257000 4085108400 5106385500 6808514000 10212771000 20425542000