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106485457509 = 3211831717501
BaseRepresentation
bin110001100101100000…
…1110010001001100101
3101011212011011201102200
41203023001302021211
53221040234120014
6120530240525113
710456544311614
oct1431301621145
9334764151380
10106485457509
11411842a0342
1218779920799
13a07033b272
14522251b87b
152b837b6a09
hex18cb072265

106485457509 has 6 divisors (see below), whose sum is σ = 153812327526. Its totient is φ = 70990305000.

The previous prime is 106485457487. The next prime is 106485457537. The reversal of 106485457509 is 905754584601.

It is a happy number.

106485457509 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 85 + 4 + 57 + 509 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91318796100 + 15166661409 = 302190^2 + 123153^2 .

It is not a de Polignac number, because 106485457509 - 29 = 106485456997 is a prime.

It is a super-2 number, since 2×1064854575092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106485467509) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5915858742 + ... + 5915858759.

It is an arithmetic number, because the mean of its divisors is an integer number (25635387921).

Almost surely, 2106485457509 is an apocalyptic number.

It is an amenable number.

106485457509 is a deficient number, since it is larger than the sum of its proper divisors (47326870017).

106485457509 is a wasteful number, since it uses less digits than its factorization.

106485457509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11831717507 (or 11831717504 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 106485457509 in words is "one hundred six billion, four hundred eighty-five million, four hundred fifty-seven thousand, five hundred nine".

Divisors: 1 3 9 11831717501 35495152503 106485457509