Search a number
-
+
2139817885200 = 243252594393857
BaseRepresentation
bin11111001000110111000…
…101011011111000010000
321120120020120212100011200
4133020313011123320100
5240024321334311300
64315004015311200
7310411452630312
oct37106705337020
97516216770150
102139817885200
11755545458426
122a686481b500
13126a26491a18
14757d3c337b2
153a9dcc29200
hex1f23715be10

2139817885200 has 90 divisors (see below), whose sum is σ = 7425762467994. Its totient is φ = 570618101760.

The previous prime is 2139817885189. The next prime is 2139817885213. The reversal of 2139817885200 is 25887189312.

2139817885200 is a `hidden beast` number, since 2 + 1 + 39 + 8 + 1 + 7 + 88 + 520 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11498701824 + 2128319183376 = 107232^2 + 1458876^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 297193329 + ... + 297200528.

Almost surely, 22139817885200 is an apocalyptic number.

2139817885200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2139817885200 is an abundant number, since it is smaller than the sum of its proper divisors (5285944582794).

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

2139817885200 is a wasteful number, since it uses less digits than its factorization.

2139817885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594393881 (or 594393867 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 2139817885200 in words is "two trillion, one hundred thirty-nine billion, eight hundred seventeen million, eight hundred eighty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 594393857 1188787714 1783181571 2377575428 2971969285 3566363142 4755150856 5349544713 5943938570 7132726284 8915907855 9510301712 10699089426 11887877140 14265452568 14859846425 17831815710 21398178852 23775754280 26747723565 28530905136 29719692850 35663631420 42796357704 44579539275 47551508560 53495447130 59439385700 71327262840 85592715408 89159078550 106990894260 118878771400 133738617825 142654525680 178318157100 213981788520 237757542800 267477235650 356636314200 427963577040 534954471300 713272628400 1069908942600 2139817885200