Search a number
-
+
6552075520 = 28519416571
BaseRepresentation
bin1100001101000100…
…01011110100000000
3121220121212220220201
412012202023310000
5101404312404040
63002053414544
7321236502664
oct60642136400
917817786821
106552075520
112862526351
12132a33a454
13805584b83
1446227c8a4
1528533aa9a
hex18688bd00

6552075520 has 144 divisors (see below), whose sum is σ = 16925791680. Its totient is φ = 2421964800.

The previous prime is 6552075503. The next prime is 6552075521. The reversal of 6552075520 is 255702556.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6552075520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552075521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993835 + ... + 1000405.

It is an arithmetic number, because the mean of its divisors is an integer number (117540220).

Almost surely, 26552075520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6552075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8462895840).

6552075520 is an abundant number, since it is smaller than the sum of its proper divisors (10373716160).

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

6552075520 is a wasteful number, since it uses less digits than its factorization.

6552075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 37.

The square root of 6552075520 is about 80944.8918709513. The cubic root of 6552075520 is about 1871.2262368233.

The spelling of 6552075520 in words is "six billion, five hundred fifty-two million, seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 128 152 160 164 190 205 256 304 320 328 380 410 608 640 656 760 779 820 1216 1280 1312 1520 1558 1640 2432 2624 3040 3116 3280 3895 4864 5248 6080 6232 6560 6571 7790 10496 12160 12464 13120 13142 15580 24320 24928 26240 26284 31160 32855 49856 52480 52568 62320 65710 99712 105136 124640 124849 131420 199424 210272 249280 249698 262840 269411 420544 498560 499396 525680 538822 624245 841088 997120 998792 1051360 1077644 1248490 1347055 1682176 1997584 2102720 2155288 2496980 2694110 3995168 4205440 4310576 4993960 5118809 5388220 7990336 8410880 8621152 9987920 10237618 10776440 15980672 17242304 19975840 20475236 21552880 25594045 31961344 34484608 39951680 40950472 43105760 51188090 68969216 79903360 81900944 86211520 102376180 159806720 163801888 172423040 204752360 327603776 344846080 409504720 655207552 819009440 1310415104 1638018880 3276037760 6552075520