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129024370368 = 263386412
BaseRepresentation
bin111100000101001110…
…0111010011011000000
3110100000221010010101000
41320022130322123000
54103220214322433
6135134544012000
712215226024045
oct1701234723300
9410027103330
10129024370368
114a79a991153
122100a001000
13c222a1b0aa
14635daa31cc
153552398113
hex1e0a73a6c0

129024370368 has 84 divisors (see below), whose sum is σ = 379351656840. Its totient is φ = 43003146240.

The previous prime is 129024370361. The next prime is 129024370429. The reversal of 129024370368 is 863073420921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (129024370361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14927328 + ... + 14935968.

Almost surely, 2129024370368 is an apocalyptic number.

129024370368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129024370368 is an abundant number, since it is smaller than the sum of its proper divisors (250327286472).

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

129024370368 is an frugal number, since it uses more digits than its factorization.

129024370368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17303 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 129024370368 in words is "one hundred twenty-nine billion, twenty-four million, three hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 8641 17282 25923 34564 51846 69128 77769 103692 138256 155538 207384 233307 276512 311076 414768 466614 553024 622152 829536 933228 1244304 1659072 1866456 2488608 3732912 4977216 7465824 14931648 74666881 149333762 224000643 298667524 448001286 597335048 672001929 896002572 1194670096 1344003858 1792005144 2016005787 2389340192 2688007716 3584010288 4032011574 4778680384 5376015432 7168020576 8064023148 10752030864 14336041152 16128046296 21504061728 32256092592 43008123456 64512185184 129024370368