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20003513164137 = 3319106336682223
BaseRepresentation
bin1001000110001011011100…
…10010111110000101101001
32121211022120020002201212000
410203011232102332011221
510110214143332223022
6110313253113241213
74133130463306626
oct443055622760551
977738506081760
1020003513164137
116412495766278
1222b0994103209
13b214280ac199
144d2264a8534d
1524a50d4e36ac
hex12316e4be169

20003513164137 has 32 divisors (see below), whose sum is σ = 31223909068800. Its totient is φ = 12621912403536.

The previous prime is 20003513164097. The next prime is 20003513164147. The reversal of 20003513164137 is 73146131530002.

20003513164137 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 5 + 1 + 3 + 1 + 641 + 3 + 7 = 666.

It is not a de Polignac number, because 20003513164137 - 214 = 20003513147753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20003513164147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17795793 + ... + 18886430.

It is an arithmetic number, because the mean of its divisors is an integer number (975747158400).

Almost surely, 220003513164137 is an apocalyptic number.

20003513164137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20003513164137 is a deficient number, since it is larger than the sum of its proper divisors (11220395904663).

20003513164137 is a wasteful number, since it uses less digits than its factorization.

20003513164137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36683314 (or 36683308 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 20003513164137 its reverse (73146131530002), we get a palindrome (93149644694139).

The spelling of 20003513164137 in words is "twenty trillion, three billion, five hundred thirteen million, one hundred sixty-four thousand, one hundred thirty-seven".

Divisors: 1 3 9 19 27 57 171 513 1063 3189 9567 20197 28701 60591 181773 545319 36682223 110046669 330140007 696962237 990420021 2090886711 6272660133 18817980399 38993203049 116979609147 350938827441 740870857931 1052816482323 2222612573793 6667837721379 20003513164137