Search a number
-
+
20139097708800 = 2832527172401431
BaseRepresentation
bin1001001010000111111111…
…10000111101100100000000
32122022021112100100020120100
410211003333300331210000
510114424333003140200
6110455435044442400
74146000421030410
oct445037760754400
978267470306510
1020139097708800
116464a416a4474
1223131130a9400
13b31154c594c5
144d8a47ad4640
1524dce6776d00
hex1250ffc3d900

20139097708800 has 1944 divisors, whose sum is σ = 87834292745472. Its totient is φ = 4311613440000.

The previous prime is 20139097708637. The next prime is 20139097708819. The reversal of 20139097708800 is 880779093102.

20139097708800 is a `hidden beast` number, since 20 + 1 + 390 + 97 + 70 + 8 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 46726444585 + ... + 46726445015.

Almost surely, 220139097708800 is an apocalyptic number.

20139097708800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20139097708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43917146372736).

20139097708800 is an abundant number, since it is smaller than the sum of its proper divisors (67695195036672).

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

20139097708800 is a wasteful number, since it uses less digits than its factorization.

20139097708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 20139097708800 in words is "twenty trillion, one hundred thirty-nine billion, ninety-seven million, seven hundred eight thousand, eight hundred".