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76046335225 = 527278792
BaseRepresentation
bin100011011010010110…
…1101111110011111001
321021021210121002112021
41012310231233303321
52221220330211400
654534000514441
75331333120100
oct1066455576371
9237253532467
1076046335225
112a2841a0233
12128a391ba21
13722bcb76c3
143975a47037
151ea134c71a
hex11b4b6fcf9

76046335225 has 27 divisors (see below), whose sum is σ = 109706882607. Its totient is φ = 52139440080.

The previous prime is 76046335159. The next prime is 76046335231. The reversal of 76046335225 is 52253364067.

The square root of 76046335225 is 275765.

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., 27376680681 + 48669654544 = 165459^2 + 220612^2 .

It is not a de Polignac number, because 76046335225 - 225 = 76012780793 is a prime.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 9647836 + ... + 9655714.

Almost surely, 276046335225 is an apocalyptic number.

76046335225 is the 275765-th square number.

76046335225 is the 137883-rd centered octagonal number.

It is an amenable number.

76046335225 is a deficient number, since it is larger than the sum of its proper divisors (33660547382).

76046335225 is an frugal number, since it uses more digits than its factorization.

76046335225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 76046335225 in words is "seventy-six billion, forty-six million, three hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 7879 39395 55153 196975 275765 386071 1378825 1930355 9651775 62078641 310393205 434550487 1551966025 2172752435 3041853409 10863762175 15209267045 76046335225