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6400952946 = 2322354128579
BaseRepresentation
bin1011111011000011…
…01100101001110010
3121112002112002201100
411331201230221302
5101102120443241
62535054345230
7314423126253
oct57541545162
917462462640
106400952946
112795197763
1212a77bb216
137b018202b
1444a180b2a
15276e389b6
hex17d86ca72

6400952946 has 48 divisors (see below), whose sum is σ = 14498976960. Its totient is φ = 2037039840.

The previous prime is 6400952927. The next prime is 6400952963. The reversal of 6400952946 is 6492590046.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209685 + ... + 238263.

It is an arithmetic number, because the mean of its divisors is an integer number (302062020).

Almost surely, 26400952946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6400952946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249488480).

6400952946 is an abundant number, since it is smaller than the sum of its proper divisors (8098024014).

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

6400952946 is a wasteful number, since it uses less digits than its factorization.

6400952946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29151 (or 29148 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6400952946 is about 80005.9556908109. The cubic root of 6400952946 is about 1856.7276785284.

The spelling of 6400952946 in words is "six billion, four hundred million, nine hundred fifty-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 541 1082 1623 3246 4869 9738 12443 24886 28579 37329 57158 74658 85737 111987 171474 223974 257211 514422 657317 1314634 1971951 3943902 5915853 11831706 15461239 30922478 46383717 92767434 139151151 278302302 355608497 711216994 1066825491 2133650982 3200476473 6400952946