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20520849001 = 31246212
BaseRepresentation
bin10011000111001000…
…110100111001101001
31221222010121010202111
4103013020310321221
5314011314132001
613232133002321
71324345224052
oct230710647151
957863533674
1020520849001
118780536644
123b884833a1
131c2057c703
14dc9547729
15801851851
hex4c7234e69

20520849001 has 9 divisors (see below), whose sum is σ = 21208755159. Its totient is φ = 19854588600.

The previous prime is 20520848969. The next prime is 20520849047. The reversal of 20520849001 is 10094802502.

The square root of 20520849001 is 143251.

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., 7647677401 + 12873171600 = 87451^2 + 113460^2 .

It is not a de Polignac number, because 20520849001 - 25 = 20520848969 is a prime.

It is a super-2 number, since 2×205208490012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20520849901) 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, 4438471 + ... + 4443091.

It is an arithmetic number, because the mean of its divisors is an integer number (2356528351).

Almost surely, 220520849001 is an apocalyptic number.

20520849001 is the 143251-st square number.

20520849001 is the 71626-th centered octagonal number.

It is an amenable number.

20520849001 is a deficient number, since it is larger than the sum of its proper divisors (687906158).

20520849001 is an frugal number, since it uses more digits than its factorization.

20520849001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 20520849001 in words is "twenty billion, five hundred twenty million, eight hundred forty-nine thousand, one".

Divisors: 1 31 961 4621 143251 4440781 21353641 661962871 20520849001