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200709312000 = 2935319371487
BaseRepresentation
bin1011101011101100110…
…1010000111000000000
3201012001202222110122020
42322323031100320000
511242023040441000
6232112105041440
720333523001011
oct2727315207000
9635052873566
10200709312000
11781361a086a
1232a95186280
1315c0826bc12
149a003a1008
15534a885ba0
hex2ebb350e00

200709312000 has 640 divisors, whose sum is σ = 721899509760. Its totient is φ = 49301913600.

The previous prime is 200709311947. The next prime is 200709312007. The reversal of 200709312000 is 213907002.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200709312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134975257 + ... + 134976743.

It is an arithmetic number, because the mean of its divisors is an integer number (1127967984).

Almost surely, 2200709312000 is an apocalyptic number.

200709312000 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 200709312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360949754880).

200709312000 is an abundant number, since it is smaller than the sum of its proper divisors (521190197760).

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

200709312000 is a wasteful number, since it uses less digits than its factorization.

200709312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The spelling of 200709312000 in words is "two hundred billion, seven hundred nine million, three hundred twelve thousand".