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6621165540 = 22325113790379
BaseRepresentation
bin1100010101010011…
…01111011111100100
3122002102220001121100
412022221233133210
5102030004244130
63013002320100
7323035656423
oct61251573744
918072801540
106621165540
112898525740
1213494b9030
13816995442
1446b5052ba
1528b436c60
hex18aa6f7e4

6621165540 has 144 divisors (see below), whose sum is σ = 22502450880. Its totient is φ = 1561731840.

The previous prime is 6621165539. The next prime is 6621165547. The reversal of 6621165540 is 455611266.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6621165495 and 6621165504.

It is not an unprimeable number, because it can be changed into a prime (6621165547) 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, 28071 + ... + 118449.

It is an arithmetic number, because the mean of its divisors is an integer number (156267020).

Almost surely, 26621165540 is an apocalyptic number.

6621165540 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 6621165540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11251225440).

6621165540 is an abundant number, since it is smaller than the sum of its proper divisors (15881285340).

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

6621165540 is a wasteful number, since it uses less digits than its factorization.

6621165540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90442 (or 90437 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6621165540 is about 81370.5446706608. The cubic root of 6621165540 is about 1877.7804593197.

The spelling of 6621165540 in words is "six billion, six hundred twenty-one million, one hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 90379 180758 271137 361516 451895 542274 813411 903790 994169 1084548 1355685 1626822 1807580 1988338 2711370 2982507 3253644 3344023 3976676 4067055 4970845 5422740 5965014 6688046 8134110 8947521 9941690 10032069 11930028 13376092 14912535 16268220 16720115 17895042 19883380 20064138 29825070 30096207 33440230 35790084 36784253 40128276 44737605 50160345 59650140 60192414 66880460 73568506 89475210 100320690 110352759 120384828 147137012 150481035 178950420 183921265 200641380 220705518 300962070 331058277 367842530 441411036 551763795 601924140 662116554 735685060 1103527590 1324233108 1655291385 2207055180 3310582770 6621165540