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5235416046 = 235767103223
BaseRepresentation
bin1001110000000111…
…00001101111101110
3111111212100200200000
410320003201233232
541210231303141
62223301045130
7243511205430
oct47003415756
914455320600
105235416046
11224728a623
1210213b67a6
13655866123
14379462650
152099595b6
hex1380e1bee

5235416046 has 192 divisors, whose sum is σ = 13838942208. Its totient is φ = 1452657888.

The previous prime is 5235416041. The next prime is 5235416051. The reversal of 5235416046 is 6406145325.

5235416046 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 41 + 604 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5235416041) and next prime (5235416051).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5235416046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235416041) 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 95 ways as a sum of consecutive naturals, for example, 23477091 + ... + 23477313.

It is an arithmetic number, because the mean of its divisors is an integer number (72077824).

Almost surely, 25235416046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5235416046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919471104).

5235416046 is an abundant number, since it is smaller than the sum of its proper divisors (8603526162).

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

5235416046 is a wasteful number, since it uses less digits than its factorization.

5235416046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5235416046 is about 72356.1748988986. The cubic root of 5235416046 is about 1736.4024898606.

The spelling of 5235416046 in words is "five billion, two hundred thirty-five million, four hundred sixteen thousand, forty-six".