Search a number
-
+
6001005056 = 2940928657
BaseRepresentation
bin1011001011011000…
…00001001000000000
3120111012221122100112
411211230001020000
544242224130211
62431250210452
7301465462364
oct54554011000
916435848315
106001005056
1125aa457a12
1211b5883a28
1374835b387
1440cdd12a4
15251c8588b
hex165b01200

6001005056 has 40 divisors (see below), whose sum is σ = 12020024940. Its totient is φ = 2993061888.

The previous prime is 6001005041. The next prime is 6001005067. The reversal of 6001005056 is 6505001006.

It can be written as a sum of positive squares in 2 ways, for example, as 5959840000 + 41165056 = 77200^2 + 6416^2 .

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, 195080 + ... + 223736.

Almost surely, 26001005056 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 6001005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010012470).

6001005056 is an abundant number, since it is smaller than the sum of its proper divisors (6019019884).

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

6001005056 is an equidigital number, since it uses as much as digits as its factorization.

6001005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29084 (or 29068 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 6001005056 is about 77466.1542610707. The cubic root of 6001005056 is about 1817.2220487204. Note that the first 3 decimals are identical.

The spelling of 6001005056 in words is "six billion, one million, five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 409 512 818 1636 3272 6544 13088 26176 28657 52352 57314 104704 114628 209408 229256 458512 917024 1834048 3668096 7336192 11720713 14672384 23441426 46882852 93765704 187531408 375062816 750125632 1500251264 3000502528 6001005056