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20439066000 = 2435317200383
BaseRepresentation
bin10011000010010000…
…110110010110010000
31221202102201010120110
4103002100312112100
5313324400103000
613220052041320
71322333123463
oct230220662620
957672633513
1020439066000
118739357891
123b65003240
131c096468c2
14dbc7392da
157e9599850
hex4c2436590

20439066000 has 160 divisors (see below), whose sum is σ = 69772105728. Its totient is φ = 5129779200.

The previous prime is 20439065987. The next prime is 20439066071. The reversal of 20439066000 is 66093402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1809 + ... + 202191.

Almost surely, 220439066000 is an apocalyptic number.

20439066000 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 20439066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34886052864).

20439066000 is an abundant number, since it is smaller than the sum of its proper divisors (49333039728).

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

20439066000 is a wasteful number, since it uses less digits than its factorization.

20439066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200426 (or 200410 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 20439066000 in words is "twenty billion, four hundred thirty-nine million, sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 200383 400766 601149 801532 1001915 1202298 1603064 2003830 2404596 3005745 3206128 3406511 4007660 4809192 5009575 6011490 6813022 8015320 9618384 10019150 10219533 12022980 13626044 15028725 16030640 17032555 20038300 20439066 24045960 25047875 27252088 30057450 34065110 40076600 40878132 48091920 50095750 51097665 54504176 60114900 68130220 75143625 80153200 81756264 85162775 100191500 102195330 120229800 136260440 150287250 163512528 170325550 200383000 204390660 240459600 255488325 272520880 300574500 340651100 400766000 408781320 425813875 510976650 601149000 681302200 817562640 851627750 1021953300 1202298000 1277441625 1362604400 1703255500 2043906600 2554883250 3406511000 4087813200 5109766500 6813022000 10219533000 20439066000