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133027510772 = 221322131155997
BaseRepresentation
bin111101111100100001…
…1101011100111110100
3110201100220201201122102
41323321003223213310
54134420020321042
6141040105121232
712416355120242
oct1737103534764
9421326651572
10133027510772
115146461a852
1221946789218
13c71019c020
14661d5d3792
1536d8a3db32
hex1ef90eb9f4

133027510772 has 24 divisors (see below), whose sum is σ = 250819198056. Its totient is φ = 61369515648.

The previous prime is 133027510771. The next prime is 133027510799. The reversal of 133027510772 is 277015720331.

133027510772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65491975396 + 67535535376 = 255914^2 + 259876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133027510771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462923 + ... + 693074.

It is an arithmetic number, because the mean of its divisors is an integer number (10450799919).

Almost surely, 2133027510772 is an apocalyptic number.

It is an amenable number.

133027510772 is a deficient number, since it is larger than the sum of its proper divisors (117791687284).

133027510772 is a wasteful number, since it uses less digits than its factorization.

133027510772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158227 (or 1158225 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 38.

The spelling of 133027510772 in words is "one hundred thirty-three billion, twenty-seven million, five hundred ten thousand, seven hundred seventy-two".

Divisors: 1 2 4 13 26 52 2213 4426 8852 28769 57538 115076 1155997 2311994 4623988 15027961 30055922 60111844 2558221361 5116442722 10232885444 33256877693 66513755386 133027510772