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427138421800 = 23523307164579
BaseRepresentation
bin1100011011100110110…
…11110001010000101000
31111211112000022001001011
412031303123301100220
523444234413444200
6524120310433304
742600613452166
oct6156333612050
91454460261034
10427138421800
1115516a55a372
126a947962834
1331381bc5aac
1416960558236
15b19e1c25ba
hex63736f1428

427138421800 has 48 divisors (see below), whose sum is σ = 993142238400. Its totient is φ = 170847556800.

The previous prime is 427138421797. The next prime is 427138421819. The reversal of 427138421800 is 8124831724.

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

It is an unprimeable number.

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, 6581911 + ... + 6646489.

It is an arithmetic number, because the mean of its divisors is an integer number (20690463300).

Almost surely, 2427138421800 is an apocalyptic number.

427138421800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427138421800 is an abundant number, since it is smaller than the sum of its proper divisors (566003816600).

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

427138421800 is a wasteful number, since it uses less digits than its factorization.

427138421800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97666 (or 97657 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

It can be divided in two parts, 4271384 and 21800, that added together give a square (4293184 = 20722).

The spelling of 427138421800 in words is "four hundred twenty-seven billion, one hundred thirty-eight million, four hundred twenty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 33071 64579 66142 129158 132284 165355 258316 264568 322895 330710 516632 645790 661420 826775 1291580 1322840 1614475 1653550 2583160 3228950 3307100 6457900 6614200 12915800 2135692109 4271384218 8542768436 10678460545 17085536872 21356921090 42713842180 53392302725 85427684360 106784605450 213569210900 427138421800