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19379424100 = 2252139212
BaseRepresentation
bin10010000011000110…
…101000101101100100
31212000120210202011011
4102003012220231210
5304142113032400
612523000152004
71254145246501
oct220306505544
955016722134
1019379424100
1182451a8183
12390a168604
131a9ac5676a
14d1bb044a8
157865368ba
hex4831a8b64

19379424100 has 27 divisors (see below), whose sum is σ = 42056371371. Its totient is φ = 7751212800.

The previous prime is 19379424073. The next prime is 19379424137. The reversal of 19379424100 is 142497391.

The square root of 19379424100 is 139210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 45077796 + 19334346304 = 6714^2 + 139048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1385140 + ... + 1399060.

Almost surely, 219379424100 is an apocalyptic number.

19379424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19379424100 is the 139210-th square number.

It is an amenable number.

19379424100 is an abundant number, since it is smaller than the sum of its proper divisors (22676947271).

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

19379424100 is an frugal number, since it uses more digits than its factorization.

19379424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27856 (or 13928 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 19379424100 in words is "nineteen billion, three hundred seventy-nine million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13921 27842 55684 69605 139210 278420 348025 696050 1392100 193794241 387588482 775176964 968971205 1937942410 3875884820 4844856025 9689712050 19379424100