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12989950488 = 2332232615591
BaseRepresentation
bin11000001100100001…
…01110101000011000
31020112021212212010100
430012100232220120
5203100411403423
65544551415400
7636621520524
oct140620565030
936467785110
1012989950488
115566541079
122626384560
1312c0293748
148b32b0d84
15510619343
hex30642ea18

12989950488 has 144 divisors (see below), whose sum is σ = 37386825840. Its totient is φ = 4073097600.

The previous prime is 12989950469. The next prime is 12989950489. The reversal of 12989950488 is 88405998921.

12989950488 is a `hidden beast` number, since 1 + 29 + 89 + 9 + 50 + 488 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12989950489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2320573 + ... + 2326163.

It is an arithmetic number, because the mean of its divisors is an integer number (259630735).

Almost surely, 212989950488 is an apocalyptic number.

12989950488 is a gapful number since it is divisible by the number (18) 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 12989950488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18693412920).

12989950488 is an abundant number, since it is smaller than the sum of its proper divisors (24396875352).

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

12989950488 is a wasteful number, since it uses less digits than its factorization.

12989950488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 12989950488 in words is "twelve billion, nine hundred eighty-nine million, nine hundred fifty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 61 69 72 92 122 138 183 184 207 244 276 366 414 488 529 549 552 732 828 1058 1098 1403 1464 1587 1656 2116 2196 2806 3174 4209 4232 4392 4761 5591 5612 6348 8418 9522 11182 11224 12627 12696 16773 16836 19044 22364 25254 32269 33546 33672 38088 44728 50319 50508 64538 67092 96807 100638 101016 128593 129076 134184 193614 201276 257186 258152 290421 341051 385779 387228 402552 514372 580842 682102 771558 774456 1023153 1028744 1157337 1161684 1364204 1543116 2046306 2314674 2323368 2728408 2957639 3069459 3086232 4092612 4629348 5915278 6138918 7844173 8185224 8872917 9258696 11830556 12277836 15688346 17745834 23532519 23661112 24555672 26618751 31376692 35491668 47065038 53237502 62753384 70597557 70983336 94130076 106475004 141195114 180415979 188260152 212950008 282390228 360831958 541247937 564780456 721663916 1082495874 1443327832 1623743811 2164991748 3247487622 4329983496 6494975244 12989950488