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6400001152 = 271714512027
BaseRepresentation
bin1011111010111100…
…00100010010000000
3121112000201202002201
411331132010102000
5101101400014102
62535022122544
7314412053326
oct57536042200
917460652081
106400001152
1127946a7656
1212a7420454
137acc0aa3c
14449db3d16
15276ceb987
hex17d784480

6400001152 has 64 divisors (see below), whose sum is σ = 13515971040. Its totient is φ = 3008204800.

The previous prime is 6400001143. The next prime is 6400001189. The reversal of 6400001152 is 2511000046.

It is a tau number, because it is divible by the number of its divisors (64).

6400001152 is a modest number, since divided by 1152 gives 640 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3156363 + ... + 3158389.

Almost surely, 26400001152 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 6400001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757985520).

6400001152 is an abundant number, since it is smaller than the sum of its proper divisors (7115969888).

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

6400001152 is a wasteful number, since it uses less digits than its factorization.

6400001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 6400001152 is about 80000.0071999997. The cubic root of 6400001152 is about 1856.6356448432.

Adding to 6400001152 its reverse (2511000046), we get a palindrome (8911001198).

The spelling of 6400001152 in words is "six billion, four hundred million, one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 1451 2027 2176 2902 4054 5804 8108 11608 16216 23216 24667 32432 34459 46432 49334 64864 68918 92864 98668 129728 137836 185728 197336 259456 275672 394672 551344 789344 1102688 1578688 2205376 2941177 3157376 4410752 5882354 11764708 23529416 47058832 50000009 94117664 100000018 188235328 200000036 376470656 400000072 800000144 1600000288 3200000576 6400001152