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11266973316 = 223458972
BaseRepresentation
bin10100111111001000…
…00101111010000100
31002002012210112210000
422133210011322010
5141033321121231
65102002201300
7546130456464
oct123744057204
932065715700
1011266973316
114861a048a5
122225353230
1310a7330921
1478c527ba4
1545e2276e6
hex29f905e84

11266973316 has 45 divisors (see below), whose sum is σ = 29459089429. Its totient is φ = 3755020896.

The previous prime is 11266973303. The next prime is 11266973317. The reversal of 11266973316 is 61337966211.

It is a happy number.

The square root of 11266973316 is 106146.

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

11266973316 is a `hidden beast` number, since 1 + 1 + 266 + 9 + 73 + 316 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10361204100 + 905769216 = 101790^2 + 30096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11266973317) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1907680 + ... + 1913576.

Almost surely, 211266973316 is an apocalyptic number.

11266973316 is the 106146-th square number.

It is an amenable number.

11266973316 is an abundant number, since it is smaller than the sum of its proper divisors (18192116113).

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

11266973316 is an frugal number, since it uses more digits than its factorization.

11266973316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11810 (or 5902 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 11266973316 in words is "eleven billion, two hundred sixty-six million, nine hundred seventy-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 5897 11794 17691 23588 35382 53073 70764 106146 159219 212292 318438 477657 636876 955314 1910628 34774609 69549218 104323827 139098436 208647654 312971481 417295308 625942962 938914443 1251885924 1877828886 2816743329 3755657772 5633486658 11266973316