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6402000160 = 255349114649
BaseRepresentation
bin1011111011001011…
…01100010100100000
3121112011111022020001
411331211230110200
5101102403001120
62535133025344
7314435050333
oct57545542440
917464438201
106402000160
112795842526
1212a8025254
137b045a89a
1444a37461a
15277093e0a
hex17d96c520

6402000160 has 48 divisors (see below), whose sum is σ = 15168195000. Its totient is φ = 2553440256.

The previous prime is 6402000151. The next prime is 6402000161. The reversal of 6402000160 is 610002046.

It can be written as a sum of positive squares in 4 ways, for example, as 5282963856 + 1119036304 = 72684^2 + 33452^2 .

It is not an unprimeable number, because it can be changed into a prime (6402000161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1485 + ... + 113164.

Almost surely, 26402000160 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 6402000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584097500).

6402000160 is an abundant number, since it is smaller than the sum of its proper divisors (8766194840).

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

6402000160 is a wasteful number, since it uses less digits than its factorization.

6402000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115013 (or 115005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 6402000160 is about 80012.5000234338. The cubic root of 6402000160 is about 1856.8289283063.

The spelling of 6402000160 in words is "six billion, four hundred two million, one hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 349 698 1396 1745 2792 3490 5584 6980 11168 13960 27920 55840 114649 229298 458596 573245 917192 1146490 1834384 2292980 3668768 4585960 9171920 18343840 40012501 80025002 160050004 200062505 320100008 400125010 640200016 800250020 1280400032 1600500040 3201000080 6402000160