Search a number
-
+
20035041520 = 2451325774959
BaseRepresentation
bin10010101010001011…
…100111100011110000
31220201021110120011211
4102222023213203300
5312012432312040
613112020245504
71306326020524
oct225213474360
956637416154
1020035041520
11855129325a
123a71840894
131b73a26570
14d80c07d84
157c3d8d8ea
hex4aa2e78f0

20035041520 has 80 divisors (see below), whose sum is σ = 50360526720. Its totient is φ = 7368671232.

The previous prime is 20035041461. The next prime is 20035041547. The reversal of 20035041520 is 2514053002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20035041491 and 20035041500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229801 + ... + 304759.

It is an arithmetic number, because the mean of its divisors is an integer number (629506584).

Almost surely, 220035041520 is an apocalyptic number.

20035041520 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 20035041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25180263360).

20035041520 is an abundant number, since it is smaller than the sum of its proper divisors (30325485200).

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

20035041520 is a wasteful number, since it uses less digits than its factorization.

20035041520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75242 (or 75236 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 20035041520 its reverse (2514053002), we get a palindrome (22549094522).

The spelling of 20035041520 in words is "twenty billion, thirty-five million, forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 257 260 514 520 1028 1040 1285 2056 2570 3341 4112 5140 6682 10280 13364 16705 20560 26728 33410 53456 66820 74959 133640 149918 267280 299836 374795 599672 749590 974467 1199344 1499180 1948934 2998360 3897868 4872335 5996720 7795736 9744670 15591472 19264463 19489340 38528926 38978680 77057852 77957360 96322315 154115704 192644630 250438019 308231408 385289260 500876038 770578520 1001752076 1252190095 1541157040 2003504152 2504380190 4007008304 5008760380 10017520760 20035041520