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12729639195 = 32572133591237
BaseRepresentation
bin10111101101011111…
…01110000100011011
31012212011001200011100
423312233232010123
5202032241423240
65503052202443
7630311101500
oct136657560433
935764050140
1012729639195
115442605379
122573169423
13127b3808b0
1488a8ad4a7
154e7849e30
hex2f6bee11b

12729639195 has 144 divisors (see below), whose sum is σ = 27740905920. Its totient is φ = 5352334848.

The previous prime is 12729639173. The next prime is 12729639199. The reversal of 12729639195 is 59193692721.

12729639195 is a `hidden beast` number, since 12 + 72 + 96 + 391 + 95 = 666.

It is not a de Polignac number, because 12729639195 - 27 = 12729639067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12729639199) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10290117 + ... + 10291353.

It is an arithmetic number, because the mean of its divisors is an integer number (192645180).

Almost surely, 212729639195 is an apocalyptic number.

12729639195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12729639195 is an abundant number, since it is smaller than the sum of its proper divisors (15011266725).

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

12729639195 is a wasteful number, since it uses less digits than its factorization.

12729639195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The spelling of 12729639195 in words is "twelve billion, seven hundred twenty-nine million, six hundred thirty-nine thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 359 441 455 585 637 735 819 1077 1237 1365 1795 1911 2205 2513 3185 3231 3711 4095 4667 5385 5733 6185 7539 8659 9555 11133 12565 14001 16081 16155 17591 18555 22617 23335 25977 28665 32669 37695 42003 43295 48243 52773 55665 60613 70005 77931 80405 87955 98007 112567 113085 129885 144729 158319 163345 181839 210015 228683 241215 263865 294021 303065 337701 389655 444083 490035 545517 562835 686049 723645 787969 791595 909195 1013103 1143415 1332249 1470105 1688505 2058147 2220415 2363907 2727585 3108581 3430245 3939845 3996747 5065515 5773079 6661245 7091721 9325743 10290735 11819535 15542905 17319237 19983735 21760067 27977229 28865395 35458605 40411553 46628715 51957711 65280201 86596185 108800335 121234659 139886145 195840603 202057765 259788555 282880871 326401005 363703977 606173295 848642613 979203015 1414404355 1818519885 2545927839 4243213065 12729639195