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5158240164 = 223371121731107
BaseRepresentation
bin1001100110111010…
…00111111110100100
3111022111010202021000
410303131013332210
541031002141124
62211502553300
7241553214030
oct46335077644
914274122230
105158240164
112207768200
12bbb598830
1364288431c
1436d0d31c0
15202cb26c9
hex133747fa4

5158240164 has 576 divisors, whose sum is σ = 18533007360. Its totient is φ = 1208908800.

The previous prime is 5158240123. The next prime is 5158240187. The reversal of 5158240164 is 4610428515.

It is a happy number.

5158240164 is a `hidden beast` number, since 515 + 82 + 4 + 0 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48207799 + ... + 48207905.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 25158240164 is an apocalyptic number.

5158240164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5158240164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266503680).

5158240164 is an abundant number, since it is smaller than the sum of its proper divisors (13374767196).

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

5158240164 is a wasteful number, since it uses less digits than its factorization.

5158240164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5158240164 is about 71820.8894681763. The cubic root of 5158240164 is about 1727.8280476080.

Adding to 5158240164 its reverse (4610428515), we get a palindrome (9768668679).

The spelling of 5158240164 in words is "five billion, one hundred fifty-eight million, two hundred forty thousand, one hundred sixty-four".