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76161096729 = 3267213732
BaseRepresentation
bin100011011101110001…
…1100001110000011001
321021120210112120201100
41012323203201300121
52221434220043404
654553220342013
75334225432534
oct1067343416031
9237523476640
1076161096729
112a332a54253
1212916244909
1372499c9113
143986d9ba1b
151eab46ad39
hex11bb8e1c19

76161096729 has 27 divisors (see below), whose sum is σ = 111758324223. Its totient is φ = 49979814192.

The previous prime is 76161096707. The next prime is 76161096787. The reversal of 76161096729 is 92769016167.

The square root of 76161096729 is 275973.

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

76161096729 is a `hidden beast` number, since 7 + 616 + 10 + 9 + 6 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75276153225 + 884943504 = 274365^2 + 29748^2 .

It is not a de Polignac number, because 76161096729 - 27 = 76161096601 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (76161096229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55469887 + ... + 55471259.

Almost surely, 276161096729 is an apocalyptic number.

76161096729 is the 275973-rd square number.

76161096729 is the 137987-th centered octagonal number.

It is an amenable number.

76161096729 is a deficient number, since it is larger than the sum of its proper divisors (35597227494).

76161096729 is an frugal number, since it uses more digits than its factorization.

76161096729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 76161096729 in words is "seventy-six billion, one hundred sixty-one million, ninety-six thousand, seven hundred twenty-nine".

Divisors: 1 3 9 67 201 603 1373 4119 4489 12357 13467 40401 91991 275973 827919 1885129 5655387 6163397 16966161 18490191 55470573 126303643 378910929 1136732787 8462344081 25387032243 76161096729