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6004425042 = 23271113813137
BaseRepresentation
bin1011001011110010…
…00100000101010010
3120111110101101200200
411211321010011102
544244113100132
62431451400030
7301536525240
oct54571040522
916443341620
106004425042
112601383450
1211b6a53016
13748c87c35
1440d641790
1525220dd7c
hex165e44152

6004425042 has 96 divisors (see below), whose sum is σ = 16236664704. Its totient is φ = 1557964800.

The previous prime is 6004425029. The next prime is 6004425059. The reversal of 6004425042 is 2405244006.

6004425042 is a `hidden beast` number, since 600 + 4 + 4 + 2 + 50 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6004424997 and 6004425015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1912498 + ... + 1915634.

It is an arithmetic number, because the mean of its divisors is an integer number (169131924).

Almost surely, 26004425042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6004425042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118332352).

6004425042 is an abundant number, since it is smaller than the sum of its proper divisors (10232239662).

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

6004425042 is a wasteful number, since it uses less digits than its factorization.

6004425042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 6004425042 is about 77488.2251829270. The cubic root of 6004425042 is about 1817.5671961115.

Adding to 6004425042 its reverse (2405244006), we get a palindrome (8409669048).

The spelling of 6004425042 in words is "six billion, four million, four hundred twenty-five thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1381 1386 2762 3137 4143 6274 8286 9411 9667 12429 15191 18822 19334 21959 24858 28233 29001 30382 34507 43918 45573 56466 58002 65877 69014 87003 91146 103521 106337 131754 136719 174006 197631 207042 212674 241549 273438 310563 319011 395262 483098 621126 638022 724647 957033 1449294 1914066 2173941 4332197 4347882 8664394 12996591 25993182 30325379 38989773 47654167 60650758 77979546 90976137 95308334 142962501 181952274 272928411 285925002 333579169 428887503 545856822 667158338 857775006 1000737507 2001475014 3002212521 6004425042