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200676885840 = 2432519103142421
BaseRepresentation
bin1011101011100101000…
…1100100010101010000
3201011222111222001022100
42322321101210111100
511241441240321330
6232104550040400
720332650246054
oct2727121442520
9634874861270
10200676885840
1178119963592
1232a86349100
1315c01627842
1499d9d5dc64
155347acd060
hex2eb9464550

200676885840 has 240 divisors, whose sum is σ = 716302903680. Its totient is φ = 50204759040.

The previous prime is 200676885811. The next prime is 200676885841. The reversal of 200676885840 is 48588676002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200676885841) 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 47 ways as a sum of consecutive naturals, for example, 1337830 + ... + 1480250.

It is an arithmetic number, because the mean of its divisors is an integer number (2984595432).

Almost surely, 2200676885840 is an apocalyptic number.

200676885840 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 200676885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358151451840).

200676885840 is an abundant number, since it is smaller than the sum of its proper divisors (515626017840).

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

200676885840 is a wasteful number, since it uses less digits than its factorization.

200676885840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142562 (or 142553 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 200676885840 in words is "two hundred billion, six hundred seventy-six million, eight hundred eighty-five thousand, eight hundred forty".