Search a number
-
+
19940375100 = 22352471414211
BaseRepresentation
bin10010100100100010…
…011111101000111100
31220110200100000021010
4102210202133220330
5311314214000400
613054355235220
71304066251242
oct224442375074
956420300233
1019940375100
118502904a48
123a45ba8b10
131b5a22c629
14d72404792
157ba8de450
hex4a489fa3c

19940375100 has 72 divisors (see below), whose sum is σ = 58921728768. Its totient is φ = 5204292800.

The previous prime is 19940375087. The next prime is 19940375107. The reversal of 19940375100 is 157304991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19940375107) 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 23 ways as a sum of consecutive naturals, for example, 693006 + ... + 721205.

It is an arithmetic number, because the mean of its divisors is an integer number (818357344).

Almost surely, 219940375100 is an apocalyptic number.

19940375100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19940375100 is an abundant number, since it is smaller than the sum of its proper divisors (38981353668).

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

19940375100 is a wasteful number, since it uses less digits than its factorization.

19940375100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414275 (or 1414268 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 19940375100 in words is "nineteen billion, nine hundred forty million, three hundred seventy-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 1414211 2828422 4242633 5656844 7071055 8485266 14142110 16970532 21213165 28284220 35355275 42426330 66467917 70710550 84852660 106065825 132935834 141421100 199403751 212131650 265871668 332339585 398807502 424263300 664679170 797615004 997018755 1329358340 1661697925 1994037510 3323395850 3988075020 4985093775 6646791700 9970187550 19940375100