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6255964980 = 22325179912063
BaseRepresentation
bin1011101001110001…
…00111001100110100
3121010222200221121200
411310320213030310
5100303011334410
62512435012500
7311012552646
oct56470471464
917128627550
106255964980
1127203690a1
12126713a130
13789119535
14434bdc896
152693493c0
hex174e27334

6255964980 has 144 divisors (see below), whose sum is σ = 20122712064. Its totient is φ = 1567779840.

The previous prime is 6255964961. The next prime is 6255964987. The reversal of 6255964980 is 894695526.

It is a happy number.

6255964980 is a `hidden beast` number, since 6 + 2 + 5 + 596 + 49 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6255964987) 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 47 ways as a sum of consecutive naturals, for example, 3031429 + ... + 3033491.

It is an arithmetic number, because the mean of its divisors is an integer number (139741056).

Almost surely, 26255964980 is an apocalyptic number.

6255964980 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 6255964980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061356032).

6255964980 is an abundant number, since it is smaller than the sum of its proper divisors (13866747084).

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

6255964980 is a wasteful number, since it uses less digits than its factorization.

6255964980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 6255964980 is about 79094.6583531404. The cubic root of 6255964980 is about 1842.6015676376.

The spelling of 6255964980 in words is "six billion, two hundred fifty-five million, nine hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 991 1020 1530 1982 2063 2973 3060 3964 4126 4955 5946 6189 8252 8919 9910 10315 11892 12378 14865 16847 17838 18567 19820 20630 24756 29730 30945 33694 35071 35676 37134 41260 44595 50541 59460 61890 67388 70142 74268 84235 89190 92835 101082 105213 123780 140284 151623 168470 175355 178380 185670 202164 210426 252705 303246 315639 336940 350710 371340 420852 505410 526065 606492 631278 701420 758115 1010820 1052130 1262556 1516230 1578195 2044433 2104260 3032460 3156390 4088866 6133299 6312780 8177732 10222165 12266598 18399897 20444330 24533196 30666495 34755361 36799794 40888660 61332990 69510722 73599588 91999485 104266083 122665980 139021444 173776805 183998970 208532166 312798249 347553610 367997940 417064332 521330415 625596498 695107220 1042660830 1251192996 1563991245 2085321660 3127982490 6255964980