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129624942142188 = 22338391907750157
BaseRepresentation
bin11101011110010010101000…
…101000010110001011101100
3121222222000122002111000121000
4131132102220220112023230
5113442233340142022223
61135404513142240300
736206043622416243
oct3536225050261354
9558860562430530
10129624942142188
11383366a1584489
1212656222a26090
13574376c4a347c
142401c4880195a
15eebc97744543
hex75e4a8a162ec

129624942142188 has 96 divisors (see below), whose sum is σ = 336642104332800. Its totient is φ = 43134126032448.

The previous prime is 129624942142169. The next prime is 129624942142231. The reversal of 129624942142188 is 881241249426921.

129624942142188 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 2 + 494 + 21 + 42 + 1 + 88 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172422006 + ... + 173172162.

It is an arithmetic number, because the mean of its divisors is an integer number (3506688586800).

Almost surely, 2129624942142188 is an apocalyptic number.

129624942142188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129624942142188 is an abundant number, since it is smaller than the sum of its proper divisors (207017162190612).

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

129624942142188 is a wasteful number, since it uses less digits than its factorization.

129624942142188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752916 (or 752908 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 129624942142188 in words is "one hundred twenty-nine trillion, six hundred twenty-four billion, nine hundred forty-two million, one hundred forty-two thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 839 1678 1907 2517 3356 3814 5034 5721 7551 7628 10068 11442 15102 17163 22653 22884 30204 34326 45306 51489 68652 90612 102978 205956 750157 1500314 1599973 2250471 3000628 3199946 4500942 4799919 6399892 6751413 9001884 9599838 13502826 14399757 19199676 20254239 27005652 28799514 40508478 43199271 57599028 81016956 86398542 172797084 629381723 1258763446 1430549399 1888145169 2517526892 2861098798 3776290338 4291648197 5664435507 5722197596 7552580676 8583296394 11328871014 12874944591 16993306521 17166592788 22657742028 25749889182 33986613042 38624833773 51499778364 67973226084 77249667546 154499335092 1200230945761 2400461891522 3600692837283 4800923783044 7201385674566 10802078511849 14402771349132 21604157023698 32406235535547 43208314047396 64812471071094 129624942142188