Search a number
-
+
200425901382 = 2327343297181
BaseRepresentation
bin1011101010101001010…
…0001000110101000110
3201011100000200201100200
42322222110020311012
511240433012321012
6232024022351330
720323512024000
oct2725224106506
9634300621320
10200425901382
1178000218213
1232a1628b546
1315b9162c025
1499b48a9370
155330a523dc
hex2eaa508d46

200425901382 has 288 divisors, whose sum is σ = 526711348800. Its totient is φ = 55050347520.

The previous prime is 200425901381. The next prime is 200425901383. The reversal of 200425901382 is 283109524002.

It is a happy number.

200425901382 is a `hidden beast` number, since 20 + 0 + 4 + 259 + 0 + 1 + 382 = 666.

It is an interprime number because it is at equal distance from previous prime (200425901381) and next prime (200425901383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200425901381) 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 143 ways as a sum of consecutive naturals, for example, 1107325332 + ... + 1107325512.

It is an arithmetic number, because the mean of its divisors is an integer number (1828858850).

Almost surely, 2200425901382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200425901382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263355674400).

200425901382 is an abundant number, since it is smaller than the sum of its proper divisors (326285447418).

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

200425901382 is a wasteful number, since it uses less digits than its factorization.

200425901382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 200425901382 in words is "two hundred billion, four hundred twenty-five million, nine hundred one thousand, three hundred eighty-two".