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427044329400 = 233521354749273
BaseRepresentation
bin1100011011011011101…
…00110101011110111000
31111211021110020122112110
412031231310311132320
523444041322020100
6524103110012320
742565361623263
oct6155564653670
91454243218473
10427044329400
11155121433357
126a9203470a0
1331368570210
1416951c63cda
15b195cd8250
hex636dd357b8

427044329400 has 96 divisors (see below), whose sum is σ = 1425671094960. Its totient is φ = 105118602240.

The previous prime is 427044329363. The next prime is 427044329423. The reversal of 427044329400 is 4923440724.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 27366837 + ... + 27382436.

Almost surely, 2427044329400 is an apocalyptic number.

427044329400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427044329400 is an abundant number, since it is smaller than the sum of its proper divisors (998626765560).

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

427044329400 is a wasteful number, since it uses less digits than its factorization.

427044329400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54749305 (or 54749296 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 427044329400 in words is "four hundred twenty-seven billion, forty-four million, three hundred twenty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 54749273 109498546 164247819 218997092 273746365 328495638 437994184 547492730 656991276 711740549 821239095 1094985460 1313982552 1368731825 1423481098 1642478190 2135221647 2189970920 2737463650 2846962196 3284956380 3558702745 4106195475 4270443294 5474927300 5693924392 6569912760 7117405490 8212390950 8540886588 10676108235 10949854600 14234810980 16424781900 17081773176 17793513725 21352216470 28469621960 32849563800 35587027450 42704432940 53380541175 71174054900 85408865880 106761082350 142348109800 213522164700 427044329400