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35113049928 = 233211531675009
BaseRepresentation
bin100000101100111001…
…101001111101001000
310100122002101202021200
4200230321221331020
51033402420044203
624044122304200
72352063666645
oct405471517510
9110562352250
1035113049928
1113989446130
12697b358060
133407786328
1419b1536dcc
15da79619a3
hex82ce69f48

35113049928 has 192 divisors, whose sum is σ = 106354684800. Its totient is φ = 10374973440.

The previous prime is 35113049927. The next prime is 35113049941. The reversal of 35113049928 is 82994031153.

It is a happy number.

35113049928 is a `hidden beast` number, since 3 + 5 + 1 + 130 + 499 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (35113049927) 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, 7007488 + ... + 7012496.

It is an arithmetic number, because the mean of its divisors is an integer number (553930650).

Almost surely, 235113049928 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 35113049928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53177342400).

35113049928 is an abundant number, since it is smaller than the sum of its proper divisors (71241634872).

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

35113049928 is a wasteful number, since it uses less digits than its factorization.

35113049928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 35113049928 in words is "thirty-five billion, one hundred thirteen million, forty-nine thousand, nine hundred twenty-eight".