Search a number
-
+
200426923264 = 2829375983149
BaseRepresentation
bin1011101010101001100…
…0000010010100000000
3201011100002121122010011
42322222120002110000
511240433243021024
6232024100314304
720323523511151
oct2725230022400
9634302548104
10200426923264
1178000855a47
1232a166a2994
1315b918c91a9
1499b4a93928
155330ba5094
hex2eaa602500

200426923264 has 288 divisors, whose sum is σ = 440400240000. Its totient is φ = 90818445312.

The previous prime is 200426923261. The next prime is 200426923271. The reversal of 200426923264 is 462329624002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200426923261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345147062 + ... + 1345147210.

It is an arithmetic number, because the mean of its divisors is an integer number (1529167500).

Almost surely, 2200426923264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200426923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220200120000).

200426923264 is an abundant number, since it is smaller than the sum of its proper divisors (239973316736).

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

200426923264 is a wasteful number, since it uses less digits than its factorization.

200426923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 200426923264 in words is "two hundred billion, four hundred twenty-six million, nine hundred twenty-three thousand, two hundred sixty-four".