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5740834176 = 27367111747
BaseRepresentation
bin1010101100010111…
…00010110110000000
3112211002101121000000
411112023202312000
543224123143201
62345354000000
7262156166610
oct52613426600
915732347000
105740834176
112486607760
121142716000
137064973cc
143c6628a40
15238ee2d86
hex1562e2d80

5740834176 has 896 divisors, whose sum is σ = 23117736960. Its totient is φ = 1373552640.

The previous prime is 5740834133. The next prime is 5740834181. The reversal of 5740834176 is 6714380475.

5740834176 is a `hidden beast` number, since 574 + 0 + 8 + 3 + 4 + 1 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 122145385 + ... + 122145431.

Almost surely, 25740834176 is an apocalyptic number.

5740834176 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 5740834176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558868480).

5740834176 is an abundant number, since it is smaller than the sum of its proper divisors (17376902784).

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

5740834176 is a wasteful number, since it uses less digits than its factorization.

5740834176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5740834176 is about 75768.2926823615. The cubic root of 5740834176 is about 1790.5714992156.

The spelling of 5740834176 in words is "five billion, seven hundred forty million, eight hundred thirty-four thousand, one hundred seventy-six".