Search a number
-
+
6401011026 = 2337673371277
BaseRepresentation
bin1011111011000011…
…11010110101010010
3121112002122001101110
411331201322311102
5101102124323101
62535055514150
7314423460504
oct57541726522
917462561343
106401011026
112795227363
1212a7828956
137b01a25b7
1444a197d74
15276e4acd6
hex17d87ad52

6401011026 has 64 divisors (see below), whose sum is σ = 13394339712. Its totient is φ = 2037353472.

The previous prime is 6401010997. The next prime is 6401011033. The reversal of 6401011026 is 6201101046.

It is a junction number, because it is equal to n+sod(n) for n = 6401010993 and 6401011011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5011900 + ... + 5013176.

It is an arithmetic number, because the mean of its divisors is an integer number (209286558).

Almost surely, 26401011026 is an apocalyptic number.

6401011026 is an abundant number, since it is smaller than the sum of its proper divisors (6993328686).

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

6401011026 is a wasteful number, since it uses less digits than its factorization.

6401011026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 6401011026 is about 80006.3186629656. The cubic root of 6401011026 is about 1856.7332942764.

The spelling of 6401011026 in words is "six billion, four hundred one million, eleven thousand, twenty-six".

Divisors: 1 2 3 6 37 67 74 111 134 201 222 337 402 674 1011 1277 2022 2479 2554 3831 4958 7437 7662 12469 14874 22579 24938 37407 45158 47249 67737 74814 85559 94498 135474 141747 171118 256677 283494 430349 513354 835423 860698 1291047 1670846 2506269 2582094 3165683 5012538 6331366 9497049 15922913 18994098 28833383 31845826 47768739 57666766 86500149 95537478 173000298 1066835171 2133670342 3200505513 6401011026