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5342089536 = 263372997157
BaseRepresentation
bin1001111100110100…
…11101000101000000
3111210022002021012000
410332122131011000
541420033331121
62242031304000
7246245004030
oct47632350500
914708067160
105342089536
1122a1519a33
12105107b000
136719a5334
143896ad8c0
15213ecb526
hex13e69d140

5342089536 has 448 divisors, whose sum is σ = 18878092800. Its totient is φ = 1449197568.

The previous prime is 5342089531. The next prime is 5342089553. The reversal of 5342089536 is 6359802435.

5342089536 is a `hidden beast` number, since 5 + 34 + 2 + 0 + 89 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×53420895362 = 57075841221281390592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5342089491 and 5342089500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5342089531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34025970 + ... + 34026126.

It is an arithmetic number, because the mean of its divisors is an integer number (42138600).

Almost surely, 25342089536 is an apocalyptic number.

5342089536 is a gapful number since it is divisible by the number (56) 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 5342089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439046400).

5342089536 is an abundant number, since it is smaller than the sum of its proper divisors (13536003264).

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

5342089536 is a wasteful number, since it uses less digits than its factorization.

5342089536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 5342089536 is about 73089.5993695409. The cubic root of 5342089536 is about 1748.1165626303.

The spelling of 5342089536 in words is "five billion, three hundred forty-two million, eighty-nine thousand, five hundred thirty-six".