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6604212420 = 2233513272367
BaseRepresentation
bin1100010011010010…
…00100100011000100
3122001020222202022000
412021221010203010
5102011134244140
63011155105300
7322441610421
oct61151044304
918036882260
106604212420
1128899a65a3
1213438a2230
1381330ab00
14469170d48
15289bd8a30
hex189a448c4

6604212420 has 144 divisors (see below), whose sum is σ = 22248817920. Its totient is φ = 1625629824.

The previous prime is 6604212409. The next prime is 6604212421. The reversal of 6604212420 is 242124066.

6604212420 is a `hidden beast` number, since 6 + 604 + 2 + 12 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6604212421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55077 + ... + 127443.

It is an arithmetic number, because the mean of its divisors is an integer number (154505680).

Almost surely, 26604212420 is an apocalyptic number.

6604212420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6604212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11124408960).

6604212420 is an abundant number, since it is smaller than the sum of its proper divisors (15644605500).

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

6604212420 is a wasteful number, since it uses less digits than its factorization.

6604212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72411 (or 72390 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6604212420 is about 81266.3055638682. The cubic root of 6604212420 is about 1876.1764393073.

Adding to 6604212420 its reverse (242124066), we get a palindrome (6846336486).

It can be divided in two parts, 6604 and 212420, that added together give a square (219024 = 4682).

The spelling of 6604212420 in words is "six billion, six hundred four million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 30420 45630 72367 91260 144734 217101 289468 361835 434202 651303 723670 868404 940771 1085505 1302606 1447340 1881542 1953909 2171010 2605212 2822313 3256515 3763084 3907818 4342020 4703855 5644626 6513030 7815636 8466939 9407710 9769545 11289252 12230023 13026060 14111565 16933878 18815420 19539090 24460046 25400817 28223130 33867756 36690069 39078180 42334695 48920092 50801634 56446260 61150115 73380138 84669390 101603268 110070207 122300230 127004085 146760276 169338780 183450345 220140414 244600460 254008170 330210621 366900690 440280828 508016340 550351035 660421242 733801380 1100702070 1320842484 1651053105 2201404140 3302106210 6604212420