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1149313568 = 251324612
BaseRepresentation
bin100010010000001…
…0010001000100000
32222002122011211012
41010200102020200
54323211013233
6310013440052
740324001264
oct10440221040
92862564735
101149313568
1153a837327
12280aa0028
13154158800
14ac8d80a4
156ad77548
hex44812220

1149313568 has 54 divisors (see below), whose sum is σ = 2455481007. Its totient is φ = 529301760.

The previous prime is 1149313559. The next prime is 1149313579. The reversal of 1149313568 is 8653139411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 50523664 + 1098789904 = 7108^2 + 33148^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=23972.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2492858 + ... + 2493318.

Almost surely, 21149313568 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 1149313568

1149313568 is an abundant number, since it is smaller than the sum of its proper divisors (1306167439).

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

1149313568 is an frugal number, since it uses more digits than its factorization.

1149313568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 476 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 1149313568 is about 33901.5275172078. The cubic root of 1149313568 is about 1047.4810572955.

The spelling of 1149313568 in words is "one billion, one hundred forty-nine million, three hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 461 676 922 1352 1844 2704 3688 5408 5993 7376 11986 14752 23972 47944 77909 95888 155818 191776 212521 311636 425042 623272 850084 1246544 1700168 2493088 2762773 3400336 5525546 6800672 11051092 22102184 35916049 44204368 71832098 88408736 143664196 287328392 574656784 1149313568