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7161052129 = 741121572
BaseRepresentation
bin1101010101101010…
…01111101111100001
3200111001210010202221
412222311033233201
5104131212132004
63142330111041
7342312640000
oct65265175741
920431703687
107161052129
113045255500
12147a27b481
138a17a456a
144bd0c0c37
152bda2d354
hex1aad4fbe1

7161052129 has 45 divisors (see below), whose sum is σ = 9241426131. Its totient is φ = 5544498960.

The previous prime is 7161052127. The next prime is 7161052183. The reversal of 7161052129 is 9212501617.

The square root of 7161052129 is 84623.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2099014225 + 5062037904 = 45815^2 + 71148^2 .

It is not a de Polignac number, because 7161052129 - 21 = 7161052127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7161052094 and 7161052103.

It is not an unprimeable number, because it can be changed into a prime (7161052127) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45611719 + ... + 45611875.

Almost surely, 27161052129 is an apocalyptic number.

7161052129 is the 84623-rd square number.

7161052129 is the 42312-nd centered octagonal number.

It is an amenable number.

7161052129 is a deficient number, since it is larger than the sum of its proper divisors (2080374002).

7161052129 is an frugal number, since it uses more digits than its factorization.

7161052129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The cubic root of 7161052129 is about 1927.4906427826.

The spelling of 7161052129 in words is "seven billion, one hundred sixty-one million, fifty-two thousand, one hundred twenty-nine".

Divisors: 1 7 11 49 77 121 157 343 539 847 1099 1727 2401 3773 5929 7693 12089 18997 24649 26411 41503 53851 84623 132979 172543 271139 290521 376957 592361 930853 1207801 1897973 2982529 4146527 6515971 8454607 13285811 20877703 45611797 59182249 93000677 146143921 651004739 1023007447 7161052129