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2009207064700 = 22521123313349727
BaseRepresentation
bin11101001111001110000…
…100101100100001111100
321010002010002120012100101
4131033032010230201330
5230404324002032300
64135003400210444
7265106011156213
oct35171604544174
97102102505311
102009207064700
1170511100a870
12285493469a24
1311760cba3454
146d3635a607a
15373e645bb6a
hex1d3ce12c87c

2009207064700 has 288 divisors, whose sum is σ = 5000129971200. Its totient is φ = 693670348800.

The previous prime is 2009207064691. The next prime is 2009207064703. The reversal of 2009207064700 is 74607029002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2009207064700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009207064703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2763695737 + ... + 2763696463.

It is an arithmetic number, because the mean of its divisors is an integer number (17361562400).

Almost surely, 22009207064700 is an apocalyptic number.

2009207064700 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 2009207064700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500064985600).

2009207064700 is an abundant number, since it is smaller than the sum of its proper divisors (2990922906500).

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

2009207064700 is a wasteful number, since it uses less digits than its factorization.

2009207064700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 2009207064700 in words is "two trillion, nine billion, two hundred seven million, sixty-four thousand, seven hundred".