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12942910512 = 243377358631
BaseRepresentation
bin11000000110111010…
…10010010000110000
31020102000100222102000
430003131102100300
5203001341114022
65540151254000
7635510631660
oct140335222060
936360328360
1012942910512
115541a32264
12261267a300
1312b360373c
148aad481a0
1550b4266ac
hex303752430

12942910512 has 160 divisors (see below), whose sum is σ = 43040578560. Its totient is φ = 3647255040.

The previous prime is 12942910493. The next prime is 12942910531. The reversal of 12942910512 is 21501924921.

12942910512 is a `hidden beast` number, since 12 + 9 + 42 + 91 + 0 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (12942910493) and next prime (12942910531).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 191437 + ... + 250067.

It is an arithmetic number, because the mean of its divisors is an integer number (269003616).

Almost surely, 212942910512 is an apocalyptic number.

12942910512 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 12942910512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520289280).

12942910512 is an abundant number, since it is smaller than the sum of its proper divisors (30097668048).

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

12942910512 is a wasteful number, since it uses less digits than its factorization.

12942910512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58728 (or 58716 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12942910512 in words is "twelve billion, nine hundred forty-two million, nine hundred ten thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 108 112 126 144 146 168 189 216 219 252 292 336 378 432 438 504 511 584 657 756 876 1008 1022 1168 1314 1512 1533 1752 1971 2044 2628 3024 3066 3504 3942 4088 4599 5256 6132 7884 8176 9198 10512 12264 13797 15768 18396 24528 27594 31536 36792 55188 58631 73584 110376 117262 175893 220752 234524 351786 410417 469048 527679 703572 820834 938096 1055358 1231251 1407144 1583037 1641668 2110716 2462502 2814288 3166074 3283336 3693753 4221432 4280063 4925004 6332148 6566672 7387506 8442864 8560126 9850008 11081259 12664296 12840189 14775012 17120252 19700016 22162518 25328592 25680378 29550024 29960441 34240504 38520567 44325036 51360756 59100048 59920882 68481008 77041134 88650072 89881323 102721512 115561701 119841764 154082268 177300144 179762646 205443024 231123402 239683528 269643969 308164536 359525292 462246804 479367056 539287938 616329072 719050584 808931907 924493608 1078575876 1438101168 1617863814 1848987216 2157151752 3235727628 4314303504 6471455256 12942910512