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2020161814320 = 2435131283504667
BaseRepresentation
bin11101011001011011000…
…001101111111100110000
321011010101112212010201210
4131121123001233330300
5231044242411024240
64144014410400120
7265644331045566
oct35313301577460
97133345763653
102020161814320
11709822751351
12287630130040
13118667616510
146dac2457a36
153783805d780
hex1d65b06ff30

2020161814320 has 160 divisors (see below), whose sum is σ = 6749502504192. Its totient is φ = 496882031616.

The previous prime is 2020161814273. The next prime is 2020161814327. The reversal of 2020161814320 is 234181610202.

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

It is not an unprimeable number, because it can be changed into a prime (2020161814327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3750627 + ... + 4255293.

Almost surely, 22020161814320 is an apocalyptic number.

2020161814320 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 2020161814320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374751252096).

2020161814320 is an abundant number, since it is smaller than the sum of its proper divisors (4729340689872).

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

2020161814320 is a wasteful number, since it uses less digits than its factorization.

2020161814320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505979 (or 505973 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 2020161814320 in words is "two trillion, twenty billion, one hundred sixty-one million, eight hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1283 1560 2566 3120 3849 5132 6415 7698 10264 12830 15396 16679 19245 20528 25660 30792 33358 38490 50037 51320 61584 66716 76980 83395 100074 102640 133432 153960 166790 200148 250185 266864 307920 333580 400296 500370 504667 667160 800592 1000740 1009334 1334320 1514001 2001480 2018668 2523335 3028002 4002960 4037336 5046670 6056004 6560671 7570005 8074672 10093340 12112008 13121342 15140010 19682013 20186680 24224016 26242684 30280020 32803355 39364026 40373360 52485368 60560040 65606710 78728052 98410065 104970736 121120080 131213420 157456104 196820130 262426840 314912208 393640260 524853680 647487761 787280520 1294975522 1574561040 1942463283 2589951044 3237438805 3884926566 5179902088 6474877610 7769853132 8417340893 9712316415 10359804176 12949755220 15539706264 16834681786 19424632830 25252022679 25899510440 31079412528 33669363572 38849265660 42086704465 50504045358 51799020880 67338727144 77698531320 84173408930 101008090716 126260113395 134677454288 155397062640 168346817860 202016181432 252520226790 336693635720 404032362864 505040453580 673387271440 1010080907160 2020161814320