Search a number
-
+
20074873680 = 243359293923
BaseRepresentation
bin10010101100100011…
…100100001101010000
31220211001102020122000
4102230203210031100
5312103131424210
613120002114000
71310321416341
oct225443441520
956731366560
1020074873680
1185718197a4
123a8304b900
131b7c0618a4
14d862160c8
157c760aac0
hex4ac8e4350

20074873680 has 80 divisors (see below), whose sum is σ = 69146794560. Its totient is φ = 5353299072.

The previous prime is 20074873673. The next prime is 20074873699. The reversal of 20074873680 is 8637847002.

It is a happy number.

20074873680 is a `hidden beast` number, since 200 + 7 + 4 + 87 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4644802 + ... + 4649121.

It is an arithmetic number, because the mean of its divisors is an integer number (864334932).

Almost surely, 220074873680 is an apocalyptic number.

20074873680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20074873680 is an abundant number, since it is smaller than the sum of its proper divisors (49071920880).

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

20074873680 is a wasteful number, since it uses less digits than its factorization.

20074873680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9293945 (or 9293933 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 20074873680 in words is "twenty billion, seventy-four million, eight hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 9293923 18587846 27881769 37175692 46469615 55763538 74351384 83645307 92939230 111527076 139408845 148702768 167290614 185878460 223054152 250935921 278817690 334581228 371756920 418226535 446108304 501871842 557635380 669162456 743513840 836453070 1003743684 1115270760 1254679605 1338324912 1672906140 2007487368 2230541520 2509359210 3345812280 4014974736 5018718420 6691624560 10037436840 20074873680