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6369490980 = 22325172971777
BaseRepresentation
bin1011110111010011…
…01011100000100100
3121102220022200000100
411323221223200210
5101021042202410
62532012144100
7313561531356
oct57351534044
917386280010
106369490980
112779458936
121299168030
137a67b7798
14445d110d6
152742c18c0
hex17ba6b824

6369490980 has 144 divisors (see below), whose sum is σ = 21163025520. Its totient is φ = 1543471104.

The previous prime is 6369490979. The next prime is 6369490987. The reversal of 6369490980 is 890949636.

It is a happy number.

6369490980 is a `hidden beast` number, since 6 + 3 + 69 + 490 + 98 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 209438784 + 6160052196 = 14472^2 + 78486^2 .

It is not an unprimeable number, because it can be changed into a prime (6369490987) 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, 52852 + ... + 124628.

It is an arithmetic number, because the mean of its divisors is an integer number (146965455).

Almost surely, 26369490980 is an apocalyptic number.

6369490980 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 6369490980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581512760).

6369490980 is an abundant number, since it is smaller than the sum of its proper divisors (14793534540).

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

6369490980 is a wasteful number, since it uses less digits than its factorization.

6369490980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71838 (or 71833 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 6369490980 is about 79809.0908355684. The cubic root of 6369490980 is about 1853.6806179280.

The spelling of 6369490980 in words is "six billion, three hundred sixty-nine million, four hundred ninety thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 145 153 170 174 180 204 255 261 290 306 340 348 435 493 510 522 580 612 765 870 986 1020 1044 1305 1479 1530 1740 1972 2465 2610 2958 3060 4437 4930 5220 5916 7395 8874 9860 14790 17748 22185 29580 44370 71777 88740 143554 215331 287108 358885 430662 645993 717770 861324 1076655 1220209 1291986 1435540 2081533 2153310 2440418 2583972 3229965 3660627 4163066 4306620 4880836 6101045 6244599 6459930 7321254 8326132 10407665 10981881 12202090 12489198 12919860 14642508 18303135 18733797 20815330 21963762 24404180 24978396 31222995 35386061 36606270 37467594 41630660 43927524 54909405 62445990 70772122 73212540 74935188 93668985 106158183 109818810 124891980 141544244 176930305 187337970 212316366 219637620 318474549 353860610 374675940 424632732 530790915 636949098 707721220 1061581830 1273898196 1592372745 2123163660 3184745490 6369490980