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23463806041 = 132117832
BaseRepresentation
bin10101110110100011…
…010100010001011001
32020120020021211212101
4111312203110101121
5341023213243131
614440142443401
71460312026534
oct256643242131
966506254771
1023463806041
119a50785845
124669b93561
13229c1b0c00
1411c8341a1b
15924dc8c61
hex5768d4459

23463806041 has 9 divisors (see below), whose sum is σ = 25409709759. Its totient is φ = 21657059736.

The previous prime is 23463806029. The next prime is 23463806053. The reversal of 23463806041 is 14060836432.

The square root of 23463806041 is 153179.

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

It is an interprime number because it is at equal distance from previous prime (23463806029) and next prime (23463806053).

It can be written as a sum of positive squares in only one way, i.e., 3470977225 + 19992828816 = 58915^2 + 141396^2 .

It is not a de Polignac number, because 23463806041 - 27 = 23463805913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23463806081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1985436 + ... + 1997218.

Almost surely, 223463806041 is an apocalyptic number.

23463806041 is the 153179-th square number.

23463806041 is the 76590-th centered octagonal number.

It is an amenable number.

23463806041 is a deficient number, since it is larger than the sum of its proper divisors (1945903718).

23463806041 is an frugal number, since it uses more digits than its factorization.

23463806041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23592 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 23463806041 in words is "twenty-three billion, four hundred sixty-three million, eight hundred six thousand, forty-one".

Divisors: 1 13 169 11783 153179 1991327 138839089 1804908157 23463806041