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5578900992 = 29327199103
BaseRepresentation
bin1010011001000011…
…10100011000000000
3112101210200112102200
411030201310120000
542411144312432
62321331113200
7255151606320
oct51441643000
915353615380
105578900992
112403164985
1210b8442800
136aba7aa62
143acd15280
15229ba7a7c
hex14c874600

5578900992 has 240 divisors, whose sum is σ = 19371855360. Its totient is φ = 1509912576.

The previous prime is 5578900991. The next prime is 5578900997. The reversal of 5578900992 is 2990098755.

5578900992 is a `hidden beast` number, since 557 + 89 + 0 + 0 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×55789009922 = 62248272557077168128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5578900991) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 608313 + ... + 617415.

It is an arithmetic number, because the mean of its divisors is an integer number (80716064).

Almost surely, 25578900992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5578900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9685927680).

5578900992 is an abundant number, since it is smaller than the sum of its proper divisors (13792954368).

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

5578900992 is a wasteful number, since it uses less digits than its factorization.

5578900992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153 (or 9134 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The square root of 5578900992 is about 74692.0410217849. The cubic root of 5578900992 is about 1773.5749712496.

The spelling of 5578900992 in words is "five billion, five hundred seventy-eight million, nine hundred thousand, nine hundred ninety-two".