Search a number
-
+
38353209930 = 23257279283389
BaseRepresentation
bin100011101110000001…
…111000101001001010
310122222220022221012200
4203232001320221022
51112021410204210
625341430221030
72525266622400
oct435601705112
9118886287180
1038353209930
11152a1429312
1275244b4776
133802b46479
141bdb9b7470
15ee71440c0
hex8ee078a4a

38353209930 has 288 divisors, whose sum is σ = 118185350400. Its totient is φ = 8602723584.

The previous prime is 38353209911. The next prime is 38353209931. The reversal of 38353209930 is 3990235383.

It is a happy number.

38353209930 is a `hidden beast` number, since 3 + 8 + 353 + 209 + 93 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38353209931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98594176 + ... + 98594564.

It is an arithmetic number, because the mean of its divisors is an integer number (410365800).

Almost surely, 238353209930 is an apocalyptic number.

38353209930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38353209930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59092675200).

38353209930 is an abundant number, since it is smaller than the sum of its proper divisors (79832140470).

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

38353209930 is a wasteful number, since it uses less digits than its factorization.

38353209930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 38353209930 in words is "thirty-eight billion, three hundred fifty-three million, two hundred nine thousand, nine hundred thirty".