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20479297401 = 32172914930977
BaseRepresentation
bin10011000100101010…
…010100011101111001
31221212020102002200100
4103010222110131321
5313420200004101
613224050230013
71323332104263
oct230452243571
957766362610
1020479297401
11875a036282
123b76585309
131c14a91874
14dc3c0cb33
157ecd94e86
hex4c4a94779

20479297401 has 48 divisors (see below), whose sum is σ = 32619834000. Its totient is φ = 12322996224.

The previous prime is 20479297387. The next prime is 20479297429. The reversal of 20479297401 is 10479297402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2136658176 + 18342639225 = 46224^2 + 135435^2 .

It is not a de Polignac number, because 20479297401 - 213 = 20479289209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20479297481) 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 47 ways as a sum of consecutive naturals, for example, 645625 + ... + 676601.

It is an arithmetic number, because the mean of its divisors is an integer number (679579875).

Almost surely, 220479297401 is an apocalyptic number.

It is an amenable number.

20479297401 is a deficient number, since it is larger than the sum of its proper divisors (12140536599).

20479297401 is a wasteful number, since it uses less digits than its factorization.

20479297401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31178 (or 31175 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

Subtracting from 20479297401 its reverse (10479297402), we obtain a palindrome (9999999999).

The spelling of 20479297401 in words is "twenty billion, four hundred seventy-nine million, two hundred ninety-seven thousand, four hundred one".

Divisors: 1 3 9 17 29 51 87 149 153 261 447 493 1341 1479 2533 4321 4437 7599 12963 22797 30977 38889 73457 92931 220371 278793 526609 661113 898333 1579827 2694999 4615573 4739481 8084997 13846719 15271661 41540157 45814983 78464741 133851617 137444949 235394223 401554851 706182669 1204664553 2275477489 6826432467 20479297401