Search a number
-
+
20016843704880 = 24351147931581919
BaseRepresentation
bin1001000110100100010001…
…10110111100101000110000
32121212120222020212100222020
410203102020312330220300
510110423443442024010
6110323335553111440
74134112022114121
oct443221066745060
977776866770866
1020016843704880
1164181064848a0
1222b3494558580
13b22770ab2b09
144d2b6b294048
1524aa3d988470
hex123488dbca30

20016843704880 has 160 divisors (see below), whose sum is σ = 67707492157440. Its totient is φ = 4851552675840.

The previous prime is 20016843704861. The next prime is 20016843704887. The reversal of 20016843704880 is 8840734861002.

It is not an unprimeable number, because it can be changed into a prime (20016843704887) 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, 11862561 + ... + 13444479.

It is an arithmetic number, because the mean of its divisors is an integer number (423171825984).

Almost surely, 220016843704880 is an apocalyptic number.

20016843704880 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 20016843704880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33853746078720).

20016843704880 is an abundant number, since it is smaller than the sum of its proper divisors (47690648452560).

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

20016843704880 is a wasteful number, since it uses less digits than its factorization.

20016843704880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586739 (or 1586733 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 20016843704880 in words is "twenty trillion, sixteen billion, eight hundred forty-three million, seven hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4793 9586 14379 19172 23965 28758 38344 47930 52723 57516 71895 76688 95860 105446 115032 143790 158169 191720 210892 230064 263615 287580 316338 383440 421784 527230 575160 632676 790845 843568 1054460 1150320 1265352 1581690 1581919 2108920 2530704 3163380 3163838 4217840 4745757 6326760 6327676 7909595 9491514 12653520 12655352 15819190 17401109 18983028 23728785 25310704 31638380 34802218 37966056 47457570 52203327 63276760 69604436 75932112 87005545 94915140 104406654 126553520 139208872 174011090 189830280 208813308 261016635 278417744 348022180 379660560 417626616 522033270 696044360 835253232 1044066540 1392088720 2088133080 4176266160 7582137767 15164275534 22746413301 30328551068 37910688835 45492826602 60657102136 75821377670 83403515437 90985653204 113732066505 121314204272 151642755340 166807030874 181971306408 227464133010 250210546311 303285510680 333614061748 363942612816 417017577185 454928266020 500421092622 606571021360 667228123496 834035154370 909856532040 1000842185244 1251052731555 1334456246992 1668070308740 1819713064080 2001684370488 2502105463110 3336140617480 4003368740976 5004210926220 6672281234960 10008421852440 20016843704880