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20348737201 = 132109732
BaseRepresentation
bin10010111100111000…
…010001011010110001
31221112010201221202101
4102330320101122301
5313133234042301
613203104020401
71320155261302
oct227470213261
957463657671
1020348737201
1186a2371491
123b3a901701
131bc3a0b100
14db07447a9
157e16a5701
hex4bce116b1

20348737201 has 9 divisors (see below), whose sum is σ = 22036439649. Its totient is φ = 18781737936.

The previous prime is 20348737151. The next prime is 20348737207. The reversal of 20348737201 is 10273784302.

The square root of 20348737201 is 142649.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2102130801 + 18246606400 = 45849^2 + 135080^2 .

It is not a de Polignac number, because 20348737201 - 29 = 20348736689 is a prime.

It is a super-2 number, since 2×203487372012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20348737207) 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, 1848951 + ... + 1859923.

Almost surely, 220348737201 is an apocalyptic number.

20348737201 is the 142649-th square number.

20348737201 is the 71325-th centered octagonal number.

It is an amenable number.

20348737201 is a deficient number, since it is larger than the sum of its proper divisors (1687702448).

20348737201 is an frugal number, since it uses more digits than its factorization.

20348737201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21972 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 20348737201 in words is "twenty billion, three hundred forty-eight million, seven hundred thirty-seven thousand, two hundred one".

Divisors: 1 13 169 10973 142649 1854437 120406729 1565287477 20348737201