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12930240192 = 263419371753
BaseRepresentation
bin11000000101011001…
…11100111011000000
31020101010112020222220
430002230330323000
5202440120141232
65535015531040
7635265141162
oct140254747300
936333466886
1012930240192
115535868921
12260a389a80
1312b0ab85cc
148a93aa932
1550a27242c
hex302b3cec0

12930240192 has 112 divisors (see below), whose sum is σ = 35103096672. Its totient is φ = 4198072320.

The previous prime is 12930240163. The next prime is 12930240217. The reversal of 12930240192 is 29104203921.

It is a super-2 number, since 2×129302401922 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7375188 + ... + 7376940.

It is an arithmetic number, because the mean of its divisors is an integer number (313420506).

Almost surely, 212930240192 is an apocalyptic number.

12930240192 is a gapful number since it is divisible by the number (12) 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 12930240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17551548336).

12930240192 is an abundant number, since it is smaller than the sum of its proper divisors (22172856480).

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

12930240192 is a wasteful number, since it uses less digits than its factorization.

12930240192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 12930240192 in words is "twelve billion, nine hundred thirty million, two hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 937 984 1312 1753 1874 1968 2624 2811 3506 3748 3936 5259 5622 7012 7496 7872 10518 11244 14024 14992 21036 22488 28048 29984 38417 42072 44976 56096 59968 71873 76834 84144 89952 112192 115251 143746 153668 168288 179904 215619 230502 287492 307336 336576 431238 461004 574984 614672 862476 922008 1149968 1229344 1642561 1724952 1844016 2299936 2458688 3285122 3449904 3688032 4599872 4927683 6570244 6899808 7376064 9855366 13140488 13799616 19710732 26280976 39421464 52561952 67345001 78842928 105123904 134690002 157685856 202035003 269380004 315371712 404070006 538760008 808140012 1077520016 1616280024 2155040032 3232560048 4310080064 6465120096 12930240192