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6406052180 = 22511216272
BaseRepresentation
bin1011111011101010…
…01001100101010100
3121112110010011112212
411331311021211110
5101104422132210
62535355532552
7314514354653
oct57565114524
917473104485
106406052180
11279805a900
1212a945a158
137b1249028
1444ab0b19a
152775e4805
hex17dd49954

6406052180 has 54 divisors (see below), whose sum is σ = 14795956602. Its totient is φ = 2328041760.

The previous prime is 6406052167. The next prime is 6406052197. The reversal of 6406052180 is 812506046.

It can be written as a sum of positive squares in only one way, i.e., 5124841744 + 1281210436 = 71588^2 + 35794^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3936527 + ... + 3938153.

Almost surely, 26406052180 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 6406052180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397978301).

6406052180 is an abundant number, since it is smaller than the sum of its proper divisors (8389904422).

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

6406052180 is a wasteful number, since it uses less digits than its factorization.

6406052180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 6406052180 is about 80037.8171866275. The cubic root of 6406052180 is about 1857.2205934606.

Multiplying 6406052180 by its product of nonzero digits (11520), we get a square (73797721113600 = 85905602).

The spelling of 6406052180 in words is "six billion, four hundred six million, fifty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1627 2420 3254 6508 8135 16270 17897 32540 35794 71588 89485 178970 196867 357940 393734 787468 984335 1968670 2647129 3937340 5294258 10588516 13235645 26471290 29118419 52942580 58236838 116473676 145592095 291184190 320302609 582368380 640605218 1281210436 1601513045 3203026090 6406052180