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149008084632825 = 35211229566193919
BaseRepresentation
bin100001111000010110100101…
…111101000000010011111001
3201112121000220121201021020220
4201320112211331000103321
5124012322024131222300
61244525211415210253
743246323150224415
oct4170264575002371
9645530817637226
10149008084632825
1143529a79162700
1214866922076989
13651b52c5064a2
1428b205b9cbd45
15123609782eda0
hex8785a5f404f9

149008084632825 has 72 divisors (see below), whose sum is σ = 280130103859200. Its totient is φ = 69755090697600.

The previous prime is 149008084632821. The next prime is 149008084632877. The reversal of 149008084632825 is 528236480800941.

It is not a de Polignac number, because 149008084632825 - 22 = 149008084632821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149008084632821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282833785 + ... + 283360134.

Almost surely, 2149008084632825 is an apocalyptic number.

149008084632825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149008084632825 is a deficient number, since it is larger than the sum of its proper divisors (131122019226375).

149008084632825 is a wasteful number, since it uses less digits than its factorization.

149008084632825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566193983 (or 566193967 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 149008084632825 in words is "one hundred forty-nine trillion, eight billion, eighty-four million, six hundred thirty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 25 29 33 55 75 87 121 145 165 275 319 363 435 605 725 825 957 1595 1815 2175 3025 3509 4785 7975 9075 10527 17545 23925 52635 87725 263175 566193919 1698581757 2830969595 6228133109 8492908785 14154847975 16419623651 18684399327 31140665545 42464543925 49258870953 68509464199 82098118255 93421996635 155703327725 180615860161 205528392597 246294354765 342547320995 410490591275 467109983175 541847580483 903079300805 1027641962985 1231471773825 1712736604975 1986774461771 2709237902415 4515396504025 5138209814925 5960323385313 9933872308855 13546189512075 29801616926565 49669361544275 149008084632825