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5411016000 = 263353134147
BaseRepresentation
bin1010000101000010…
…11000110101000000
3111222002210002112000
411002201120311000
542040210003000
62252532504000
7251042606565
oct50241306500
914862702460
105411016000
112327417455
12107017b000
13683059320
143948d286c
1521a094000
hex142858d40

5411016000 has 896 divisors, whose sum is σ = 22366955520. Its totient is φ = 1271808000.

The previous prime is 5411015999. The next prime is 5411016019. The reversal of 5411016000 is 6101145.

5411016000 is a `hidden beast` number, since 54 + 1 + 10 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115127977 + ... + 115128023.

It is an arithmetic number, because the mean of its divisors is an integer number (24963120).

Almost surely, 25411016000 is an apocalyptic number.

5411016000 is a gapful number since it is divisible by the number (50) 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 5411016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183477760).

5411016000 is an abundant number, since it is smaller than the sum of its proper divisors (16955939520).

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

5411016000 is a wasteful number, since it uses less digits than its factorization.

5411016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5411016000 is about 73559.6084818292. The cubic root of 5411016000 is about 1755.6028318436.

Adding to 5411016000 its reverse (6101145), we get a palindrome (5417117145).

The spelling of 5411016000 in words is "five billion, four hundred eleven million, sixteen thousand".