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4317672681 = 34741492
BaseRepresentation
bin1000000010101101…
…00111010011101001
3102010220110111110000
410001112213103221
532320311011211
61552234413213
7211665420000
oct40126472351
912126414400
104317672681
111916239433
12a05b91209
1353a69950a
142cd607c37
151a40c5656
hex1015a74e9

4317672681 has 75 divisors (see below), whose sum is σ = 7575223271. Its totient is φ = 2450682864.

The previous prime is 4317672647. The next prime is 4317672691. The reversal of 4317672681 is 1862767134.

The square root of 4317672681 is 65709.

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

4317672681 is a `hidden beast` number, since 431 + 76 + 72 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 505845081 + 3811827600 = 22491^2 + 61740^2 .

It is not a de Polignac number, because 4317672681 - 217 = 4317541609 is a prime.

It is a super-2 number, since 2×43176726812 = 37284594760507455522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4317672691) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 28977595 + ... + 28977743.

Almost surely, 24317672681 is an apocalyptic number.

4317672681 is the 65709-th square number.

4317672681 is the 32855-th centered octagonal number.

It is an amenable number.

4317672681 is a deficient number, since it is larger than the sum of its proper divisors (3257550590).

4317672681 is an frugal number, since it uses more digits than its factorization.

4317672681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 159 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The cubic root of 4317672681 is about 1628.3580491015.

The spelling of 4317672681 in words is "four billion, three hundred seventeen million, six hundred seventy-two thousand, six hundred eighty-one".