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11176506961 = 71214892
BaseRepresentation
bin10100110100010101…
…11111011001010001
31001211220120101021021
422122022333121101
5140342141210321
65045011155441
7543651512254
oct123212773121
931756511237
1011176506961
114815935114
1221baba5b81
131091677639
147804d909b
15456307941
hex29a2bf651

11176506961 has 9 divisors (see below), whose sum is σ = 11343758043. Its totient is φ = 11011691040.

The previous prime is 11176506947. The next prime is 11176506983. The reversal of 11176506961 is 16960567111.

The square root of 11176506961 is 105719.

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., 2393068561 + 8783438400 = 48919^2 + 93720^2 .

It is not a de Polignac number, because 11176506961 - 213 = 11176498769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11176506941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7505305 + ... + 7506793.

Almost surely, 211176506961 is an apocalyptic number.

11176506961 is the 105719-th square number.

11176506961 is the 52860-th centered octagonal number.

It is an amenable number.

11176506961 is a deficient number, since it is larger than the sum of its proper divisors (167251082).

11176506961 is an frugal number, since it uses more digits than its factorization.

11176506961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 11176506961 in words is "eleven billion, one hundred seventy-six million, five hundred six thousand, nine hundred sixty-one".

Divisors: 1 71 1489 5041 105719 2217121 7506049 157415591 11176506961