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2020016128 = 216132371
BaseRepresentation
bin111100001100111…
…0000000000000000
312012210000110012011
41320121300000000
513114111004003
6532235542304
7101025565564
oct17031600000
95183013164
102020016128
11947279019
124845ba994
13262664c20
141523c96a4
15bc51846d
hex78670000

2020016128 has 68 divisors (see below), whose sum is σ = 4352605768. Its totient is φ = 931921920.

The previous prime is 2020016113. The next prime is 2020016171. The reversal of 2020016128 is 8216100202.

It is a super-2 number, since 2×20200161282 = 8160930314760224768, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2020016099 and 2020016108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 850783 + ... + 853153.

Almost surely, 22020016128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176302884).

2020016128 is an abundant number, since it is smaller than the sum of its proper divisors (2332589640).

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

2020016128 is an frugal number, since it uses more digits than its factorization.

2020016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2020016128 is about 44944.5895297754. The cubic root of 2020016128 is about 1264.1102291308.

The spelling of 2020016128 in words is "two billion, twenty million, sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 2371 3328 4096 4742 6656 8192 9484 13312 16384 18968 26624 30823 32768 37936 53248 61646 65536 75872 106496 123292 151744 212992 246584 303488 425984 493168 606976 851968 986336 1213952 1972672 2427904 3945344 4855808 7890688 9711616 15781376 19423232 31562752 38846464 63125504 77692928 126251008 155385856 252502016 505004032 1010008064 2020016128