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7131600128 = 28193144341
BaseRepresentation
bin1101010010001001…
…11001010100000000
3200102000100211020002
412221010321110000
5104101142201003
63135354535132
7341504413052
oct65104712400
920360324202
107131600128
11302a669804
1214704374a8
13898661b43
144b92158d2
152bb161a88
hex1a9139500

7131600128 has 36 divisors (see below), whose sum is σ = 14309199828. Its totient is φ = 3547299840.

The previous prime is 7131600121. The next prime is 7131600137. The reversal of 7131600128 is 8210061317.

It can be written as a sum of positive squares in 2 ways, for example, as 1754604544 + 5376995584 = 41888^2 + 73328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7131600128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7131600121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22763 + ... + 121578.

It is an arithmetic number, because the mean of its divisors is an integer number (397477773).

Almost surely, 27131600128 is an apocalyptic number.

It is an amenable number.

7131600128 is an abundant number, since it is smaller than the sum of its proper divisors (7177599700).

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

7131600128 is a wasteful number, since it uses less digits than its factorization.

7131600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144550 (or 144536 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 7131600128 is about 84448.8018150643. The cubic root of 7131600128 is about 1924.8445483510.

The spelling of 7131600128 in words is "seven billion, one hundred thirty-one million, six hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 772 1544 3088 6176 12352 24704 49408 144341 288682 577364 1154728 2309456 4618912 9237824 18475648 27857813 36951296 55715626 111431252 222862504 445725008 891450016 1782900032 3565800064 7131600128