Search a number
-
+
20088006311160 = 23325592441387449
BaseRepresentation
bin1001001000101000110100…
…11110101111110011111000
32122010101122200212022211200
410210110122132233303320
510113110214103424120
6110420145214454200
74142211344230344
oct444243236576370
978111580768750
1020088006311160
1164453039621a7
122305234804360
13b293a205b478
144d639c464624
1524c806199e90
hex12451a7afcf8

20088006311160 has 192 divisors, whose sum is σ = 66419933580000. Its totient is φ = 5263837532160.

The previous prime is 20088006311123. The next prime is 20088006311237. The reversal of 20088006311160 is 6111360088002.

20088006311160 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 8 + 0 + 0 + 631 + 1 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51653116 + ... + 52040564.

Almost surely, 220088006311160 is an apocalyptic number.

20088006311160 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 20088006311160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33209966790000).

20088006311160 is an abundant number, since it is smaller than the sum of its proper divisors (46331927268840).

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

20088006311160 is a wasteful number, since it uses less digits than its factorization.

20088006311160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389966 (or 389959 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 20088006311160 its reverse (6111360088002), we get a palindrome (26199366399162).

The spelling of 20088006311160 in words is "twenty trillion, eighty-eight billion, six million, three hundred eleven thousand, one hundred sixty".