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1150086816 = 25331331119
BaseRepresentation
bin100010010001100…
…1110111010100000
32222011002110112000
41010203032322200
54323410234231
6310042204000
740333401534
oct10443167240
92864073460
101150086816
1154021527a
122811b3600
13154369758
14aca59bc4
156ae7b6e6
hex448ceea0

1150086816 has 48 divisors (see below), whose sum is σ = 3354422400. Its totient is φ = 383361984.

The previous prime is 1150086811. The next prime is 1150086877. The reversal of 1150086816 is 6186800511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1150086811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664696 + ... + 666423.

It is an arithmetic number, because the mean of its divisors is an integer number (69883800).

Almost surely, 21150086816 is an apocalyptic number.

1150086816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1150086816 is an abundant number, since it is smaller than the sum of its proper divisors (2204335584).

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

1150086816 is a wasteful number, since it uses less digits than its factorization.

1150086816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331138 (or 1331124 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1150086816 is about 33912.9299235557. The cubic root of 1150086816 is about 1047.7159166289.

The spelling of 1150086816 in words is "one billion, one hundred fifty million, eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1331119 2662238 3993357 5324476 7986714 10648952 11980071 15973428 21297904 23960142 31946856 35940213 42595808 47920284 63893712 71880426 95840568 127787424 143760852 191681136 287521704 383362272 575043408 1150086816