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5991014400 = 21335272199
BaseRepresentation
bin1011001010001011…
…11010000000000000
3120110112011001202020
411211011322000000
544232144430100
62430252121440
7301314532200
oct54505720000
916415131666
105991014400
1125a4853878
1211b2466280
13746270b47
1440b950400
15250e605a0
hex16517a000

5991014400 has 504 divisors, whose sum is σ = 23159008800. Its totient is φ = 1362493440.

The previous prime is 5991014357. The next prime is 5991014417. The reversal of 5991014400 is 44101995.

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 35 ways as a sum of consecutive naturals, for example, 30105501 + ... + 30105699.

Almost surely, 25991014400 is an apocalyptic number.

5991014400 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 5991014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11579504400).

5991014400 is an abundant number, since it is smaller than the sum of its proper divisors (17167994400).

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

5991014400 is a wasteful number, since it uses less digits than its factorization.

5991014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 5991014400 is about 77401.6433934061. The cubic root of 5991014400 is about 1816.2130330275.

The spelling of 5991014400 in words is "five billion, nine hundred ninety-one million, fourteen thousand, four hundred".