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5996131200 = 2732521737331
BaseRepresentation
bin1011001010110010…
…11011001110000000
3120110212210000200100
411211121123032000
544240002144300
62430553522400
7301406163033
oct54531331600
916425700610
105996131200
1125a7729134
1211b4113400
13747342b37
1440c4c301a
15251621700
hex16565b380

5996131200 has 576 divisors, whose sum is σ = 23336698320. Its totient is φ = 1459814400.

The previous prime is 5996131189. The next prime is 5996131243. The reversal of 5996131200 is 21316995.

5996131200 is a `hidden beast` number, since 599 + 61 + 3 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×59961312002 = 71907178735226880000, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18115035 + ... + 18115365.

Almost surely, 25996131200 is an apocalyptic number.

5996131200 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 5996131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11668349160).

5996131200 is an abundant number, since it is smaller than the sum of its proper divisors (17340567120).

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

5996131200 is a wasteful number, since it uses less digits than its factorization.

5996131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 5996131200 is about 77434.6899005865. The cubic root of 5996131200 is about 1816.7299490717.

The spelling of 5996131200 in words is "five billion, nine hundred ninety-six million, one hundred thirty-one thousand, two hundred".