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10006007574 = 2313911997611
BaseRepresentation
bin10010101000110011…
…11000111100010110
3221211100001211222010
421110121320330112
5130443014220244
64332515245050
7502646442513
oct112431707426
927740054863
1010006007574
114275148652
121b32ba9786
13c36011a54
146acc8830a
153d8697eb9
hex254678f16

10006007574 has 16 divisors (see below), whose sum is σ = 20155988160. Its totient is φ = 3311340360.

The previous prime is 10006007573. The next prime is 10006007579. The reversal of 10006007574 is 47570060001.

It is a happy number.

10006007574 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006007573) 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 7 ways as a sum of consecutive naturals, for example, 5997972 + ... + 5999639.

It is an arithmetic number, because the mean of its divisors is an integer number (1259749260).

Almost surely, 210006007574 is an apocalyptic number.

10006007574 is an abundant number, since it is smaller than the sum of its proper divisors (10149980586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10006007574 is a wasteful number, since it uses less digits than its factorization.

10006007574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997755.

The product of its (nonzero) digits is 5880, while the sum is 30.

Adding to 10006007574 its reverse (47570060001), we get a palindrome (57576067575).

The spelling of 10006007574 in words is "ten billion, six million, seven thousand, five hundred seventy-four".

Divisors: 1 2 3 6 139 278 417 834 11997611 23995222 35992833 71985666 1667667929 3335335858 5003003787 10006007574