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2138391325 = 527175031429
BaseRepresentation
bin111111101110101…
…0100001100011101
312112000202112102201
41333131110030131
513334412010300
6552105051501
7103664012020
oct17735241435
95460675381
102138391325
119a8080064
124b8186b91
13281040415
141640011b7
15c7aec66a
hex7f75431d

2138391325 has 48 divisors (see below), whose sum is σ = 3217294080. Its totient is φ = 1376363520.

The previous prime is 2138391323. The next prime is 2138391349. The reversal of 2138391325 is 5231938312.

It is not a de Polignac number, because 2138391325 - 21 = 2138391323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138391323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495711 + ... + 1497139.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960).

Almost surely, 22138391325 is an apocalyptic number.

2138391325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2138391325 is a deficient number, since it is larger than the sum of its proper divisors (1078902755).

2138391325 is a wasteful number, since it uses less digits than its factorization.

2138391325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1961 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 2138391325 is about 46242.7434847890. The cubic root of 2138391325 is about 1288.3357592454.

The spelling of 2138391325 in words is "two billion, one hundred thirty-eight million, three hundred ninety-one thousand, three hundred twenty-five".

Divisors: 1 5 7 17 25 35 85 119 175 425 503 595 1429 2515 2975 3521 7145 8551 10003 12575 17605 24293 35725 42755 50015 59857 88025 121465 170051 213775 250075 299285 607325 718787 850255 1496425 3593935 4251275 5031509 12219379 17969675 25157545 61096895 85535653 125787725 305484475 427678265 2138391325