Search a number
-
+
1636016128 = 2131923457
BaseRepresentation
bin110000110000011…
…1010000000000000
311020000110020012221
41201200322000000
511322310004003
6430201300424
755353623215
oct14140720000
94200406187
101636016128
1176a54114a
12397a94714
13200c361a6
141173cbb0c
15989657bd
hex6183a000

1636016128 has 112 divisors (see below), whose sum is σ = 3601638720. Its totient is φ = 739639296.

The previous prime is 1636016113. The next prime is 1636016149. The reversal of 1636016128 is 8216106361.

It is a happy number.

It is a super-2 number, since 2×16360161282 = 5353097542152224768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1636016093 and 1636016102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3579676 + ... + 3580132.

Almost surely, 21636016128 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 1636016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800819360).

1636016128 is an abundant number, since it is smaller than the sum of its proper divisors (1965622592).

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

1636016128 is an equidigital number, since it uses as much as digits as its factorization.

1636016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1636016128 is about 40447.6962013908. The cubic root of 1636016128 is about 1178.3180403475.

The spelling of 1636016128 in words is "one billion, six hundred thirty-six million, sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 457 512 608 736 874 914 1024 1216 1472 1748 1828 2048 2432 2944 3496 3656 4096 4864 5888 6992 7312 8192 8683 9728 10511 11776 13984 14624 17366 19456 21022 23552 27968 29248 34732 38912 42044 47104 55936 58496 69464 77824 84088 94208 111872 116992 138928 155648 168176 188416 199709 223744 233984 277856 336352 399418 447488 467968 555712 672704 798836 894976 935936 1111424 1345408 1597672 1789952 1871872 2222848 2690816 3195344 3579904 3743744 4445696 5381632 6390688 8891392 10763264 12781376 17782784 21526528 25562752 35565568 43053056 51125504 71131136 86106112 102251008 204502016 409004032 818008064 1636016128