Search a number
-
+
2009607988740 = 22351123371935597
BaseRepresentation
bin11101001111100101111…
…110000110011000000100
321010010011000222020201220
4131033211332012120010
5230411134121114430
64135111241320340
7265121650030032
oct35174576063004
97103130866656
102009607988740
117052a7356a50
122855857960b0
13117674c79501
146d3a092b552
153741b754110
hex1d3e5f86604

2009607988740 has 192 divisors, whose sum is σ = 6407229911040. Its totient is φ = 465857666560.

The previous prime is 2009607988711. The next prime is 2009607988831. The reversal of 2009607988740 is 478897069002.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56436622 + ... + 56472218.

It is an arithmetic number, because the mean of its divisors is an integer number (33370989120).

Almost surely, 22009607988740 is an apocalyptic number.

2009607988740 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 2009607988740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203614955520).

2009607988740 is an abundant number, since it is smaller than the sum of its proper divisors (4397621922300).

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

2009607988740 is a wasteful number, since it uses less digits than its factorization.

2009607988740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39362 (or 39360 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 2009607988740 in words is "two trillion, nine billion, six hundred seven million, nine hundred eighty-eight thousand, seven hundred forty".