Search a number
-
+
129264084400 = 24521129378201
BaseRepresentation
bin111100001100010111…
…1010110010110110000
3110100122122011212012111
41320120233112112300
54104213101200100
6135214425535104
712224166405553
oct1703057262660
9410578155174
10129264084400
114a903229920
1221076344494
13c26059ba09
14638386269a
1535684496ba
hex1e18bd65b0

129264084400 has 60 divisors (see below), whose sum is σ = 338789425464. Its totient is φ = 47005120000.

The previous prime is 129264084353. The next prime is 129264084403. The reversal of 129264084400 is 4480462921.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (129264084403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14684701 + ... + 14693500.

Almost surely, 2129264084400 is an apocalyptic number.

129264084400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129264084400 is an abundant number, since it is smaller than the sum of its proper divisors (209525341064).

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

129264084400 is a wasteful number, since it uses less digits than its factorization.

129264084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29378230 (or 29378219 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 129264084400 in words is "one hundred twenty-nine billion, two hundred sixty-four million, eighty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 29378201 58756402 117512804 146891005 235025608 293782010 323160211 470051216 587564020 646320422 734455025 1175128040 1292640844 1468910050 1615801055 2350256080 2585281688 2937820100 3231602110 5170563376 5875640200 6463204220 8079005275 11751280400 12926408440 16158010550 25852816880 32316021100 64632042200 129264084400