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5436990000 = 243354131549
BaseRepresentation
bin1010001000001000…
…11110001000110000
3112000220122201011000
411010010132020300
542113332140000
62255301322000
7251506436541
oct50404361060
915026581130
105436990000
112340048072
121078a06300
13688551960
143981344c8
1521c4c5000
hex14411e230

5436990000 has 400 divisors, whose sum is σ = 21015148000. Its totient is φ = 1337472000.

The previous prime is 5436989981. The next prime is 5436990019. The reversal of 5436990000 is 996345.

It is an interprime number because it is at equal distance from previous prime (5436989981) and next prime (5436990019).

It is a tau number, because it is divible by the number of its divisors (400).

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

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 79 ways as a sum of consecutive naturals, for example, 3509226 + ... + 3510774.

It is an arithmetic number, because the mean of its divisors is an integer number (52537870).

Almost surely, 25436990000 is an apocalyptic number.

5436990000 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 5436990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10507574000).

5436990000 is an abundant number, since it is smaller than the sum of its proper divisors (15578158000).

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

5436990000 is a wasteful number, since it uses less digits than its factorization.

5436990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5436990000 is about 73735.9478138038. The cubic root of 5436990000 is about 1758.4074350648.

The spelling of 5436990000 in words is "five billion, four hundred thirty-six million, nine hundred ninety thousand".