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2006462405101 = 721119278970249
BaseRepresentation
bin11101001100101010011…
…110101001100111101101
321002211000211000001012011
4131030222132221213231
5230333213333430401
64133431152441221
7264651003020200
oct35145236514755
97084024001164
102006462405101
11703a327a0450
12284a48249211
1311729338130b
146d182c69937
15372d5504451
hex1d32a7a99ed

2006462405101 has 48 divisors (see below), whose sum is σ = 2681245800000. Its totient is φ = 1480636765440.

The previous prime is 2006462405029. The next prime is 2006462405131. The reversal of 2006462405101 is 1015042646002.

It is a happy number.

It is not a de Polignac number, because 2006462405101 - 215 = 2006462372333 is a prime.

It is a super-3 number, since 3×20064624051013 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006462405131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28527025 + ... + 28597273.

It is an arithmetic number, because the mean of its divisors is an integer number (55859287500).

Almost surely, 22006462405101 is an apocalyptic number.

It is an amenable number.

2006462405101 is a deficient number, since it is larger than the sum of its proper divisors (674783394899).

2006462405101 is a wasteful number, since it uses less digits than its factorization.

2006462405101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73082 (or 73075 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 2006462405101 in words is "two trillion, six billion, four hundred sixty-two million, four hundred five thousand, one hundred one".

Divisors: 1 7 11 19 49 77 133 209 539 931 1463 2789 10241 19523 30679 52991 70249 136661 214753 370937 491743 582901 772739 1334731 1503271 2596559 3442201 4080307 5409173 9343117 14682041 28562149 37864211 65401819 102774287 195924461 719420009 1371471227 2155169071 3722564759 9600298589 15086183497 26057953313 40948212349 105603284479 182405673191 286637486443 2006462405101