Search a number
-
+
19855575036000 = 253453115571149
BaseRepresentation
bin1001000001110111111000…
…11111110011000001100000
32121022011201011102011110000
410200323330133303001200
510100303204202123000
6110121305241540000
74116342442051614
oct440737437630140
977264634364400
1019855575036000
11636577a523a60
122288187aa4600
13b104aca5b062
144c902d097344
15246750949000
hex120efc7f3060

19855575036000 has 480 divisors, whose sum is σ = 79501736714400. Its totient is φ = 4813471872000.

The previous prime is 19855575035911. The next prime is 19855575036109. The reversal of 19855575036000 is 63057555891.

19855575036000 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 5 + 575 + 0 + 3 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 778426 + ... + 6349574.

It is an arithmetic number, because the mean of its divisors is an integer number (165628618155).

Almost surely, 219855575036000 is an apocalyptic number.

19855575036000 is a gapful number since it is divisible by the number (10) 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 19855575036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39750868357200).

19855575036000 is an abundant number, since it is smaller than the sum of its proper divisors (59646161678400).

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

19855575036000 is a wasteful number, since it uses less digits than its factorization.

19855575036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571197 (or 5571170 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 19855575036000 in words is "nineteen trillion, eight hundred fifty-five billion, five hundred seventy-five million, thirty-six thousand".