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8125012404 = 22324094491229
BaseRepresentation
bin1111001000100100…
…11101100110110100
3202222020122101200100
413210102131212310
5113120000344104
63422123114100
7405226315545
oct74422354664
922866571610
108125012404
11349a3a3093
1216a9072930
139c6403662
1457112a4cc
15328491139
hex1e449d9b4

8125012404 has 72 divisors (see below), whose sum is σ = 20651085000. Its totient is φ = 2693505024.

The previous prime is 8125012403. The next prime is 8125012409. The reversal of 8125012404 is 4042105218.

8125012404 is a `hidden beast` number, since 8 + 1 + 250 + 1 + 2 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5958296100 + 2166716304 = 77190^2 + 46548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8125012403) 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 23 ways as a sum of consecutive naturals, for example, 6610462 + ... + 6611690.

It is an arithmetic number, because the mean of its divisors is an integer number (286820625).

Almost surely, 28125012404 is an apocalyptic number.

It is an amenable number.

8125012404 is an abundant number, since it is smaller than the sum of its proper divisors (12526072596).

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

8125012404 is a wasteful number, since it uses less digits than its factorization.

8125012404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8125012404 is about 90138.8506915858. The cubic root of 8125012404 is about 2010.3639023316.

The spelling of 8125012404 in words is "eight billion, one hundred twenty-five million, twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 409 449 818 898 1227 1229 1347 1636 1796 2454 2458 2694 3681 3687 4041 4908 4916 5388 7362 7374 8082 11061 14724 14748 16164 22122 44244 183641 367282 502661 550923 551821 734564 1005322 1101846 1103642 1507983 1652769 1655463 2010644 2203692 2207284 3015966 3305538 3310926 4523949 4966389 6031932 6611076 6621852 9047898 9932778 18095796 19865556 225694789 451389578 677084367 902779156 1354168734 2031253101 2708337468 4062506202 8125012404