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5741156736 = 2732721953101
BaseRepresentation
bin1010101100011001…
…10001100110000000
3112211002222222110200
411112030301212000
543224214003421
62345404525200
7262162012200
oct52614614600
915732888420
105741156736
112486808037
121142850800
1370657b183
143c66b0400
15239058726
hex156331980

5741156736 has 576 divisors, whose sum is σ = 20815282800. Its totient is φ = 1509580800.

The previous prime is 5741156723. The next prime is 5741156749. The reversal of 5741156736 is 6376511475.

5741156736 is a `hidden beast` number, since 5 + 74 + 11 + 567 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5741156723) and next prime (5741156749).

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

It is a junction number, because it is equal to n+sod(n) for n = 5741156691 and 5741156700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56843086 + ... + 56843186.

Almost surely, 25741156736 is an apocalyptic number.

5741156736 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 5741156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10407641400).

5741156736 is an abundant number, since it is smaller than the sum of its proper divisors (15074126064).

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

5741156736 is a wasteful number, since it uses less digits than its factorization.

5741156736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 5741156736 is about 75770.4212473443. The cubic root of 5741156736 is about 1790.6050341752.

The spelling of 5741156736 in words is "five billion, seven hundred forty-one million, one hundred fifty-six thousand, seven hundred thirty-six".