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5994086400 = 2153352271
BaseRepresentation
bin1011001010100011…
…01000000000000000
3120110201221010202000
411211101220000000
544233441231100
62430442024000
7301352615361
oct54521500000
916421833660
105994086400
1125a6561915
1211b34a8000
13746aa81b3
1440c10db68
1525136a900
hex165468000

5994086400 has 384 divisors, whose sum is σ = 22103644800. Its totient is φ = 1592524800.

The previous prime is 5994086359. The next prime is 5994086401. The reversal of 5994086400 is 46804995.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5994086401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22118265 + ... + 22118535.

It is an arithmetic number, because the mean of its divisors is an integer number (57561575).

Almost surely, 25994086400 is an apocalyptic number.

5994086400 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 5994086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11051822400).

5994086400 is an abundant number, since it is smaller than the sum of its proper divisors (16109558400).

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

5994086400 is an equidigital number, since it uses as much as digits as its factorization.

5994086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5994086400 is about 77421.4853900389. The cubic root of 5994086400 is about 1816.5234119099.

The spelling of 5994086400 in words is "five billion, nine hundred ninety-four million, eighty-six thousand, four hundred".