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200882987928 = 233473779109139
BaseRepresentation
bin1011101100010110001…
…1110010001110011000
3201012111212210010020000
42323011203302032120
511242402021103203
6232141231333000
720341032136560
oct2730543621630
9635455703200
10200882987928
1178215234097
1232b23381160
1315c3523a43c
149a1948dda0
15535ac404a3
hex2ec58f2398

200882987928 has 640 divisors, whose sum is σ = 679768320000. Its totient is φ = 54238159872.

The previous prime is 200882987927. The next prime is 200882987953. The reversal of 200882987928 is 829789288002.

200882987928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200882987923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1445201283 + ... + 1445201421.

It is an arithmetic number, because the mean of its divisors is an integer number (1062138000).

Almost surely, 2200882987928 is an apocalyptic number.

200882987928 is a gapful number since it is divisible by the number (28) 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 200882987928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339884160000).

200882987928 is an abundant number, since it is smaller than the sum of its proper divisors (478885332072).

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

200882987928 is a wasteful number, since it uses less digits than its factorization.

200882987928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 200882987928 in words is "two hundred billion, eight hundred eighty-two million, nine hundred eighty-seven thousand, nine hundred twenty-eight".