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5697416240640 = 29335375961619
BaseRepresentation
bin101001011101000100001…
…1110001001111000000000
3202011200000201210221122000
41102322020132021320000
51221321302024200030
620041205030544000
71125424166665425
oct122721036117000
922150021727560
105697416240640
1118a7295a33543
12780245208000
133243581564c7
14159a83875d4c
159d309a55860
hex52e88789e00

5697416240640 has 1280 divisors, whose sum is σ = 21518158464000. Its totient is φ = 1427061473280.

The previous prime is 5697416240629. The next prime is 5697416240669. The reversal of 5697416240640 is 460426147965.

5697416240640 is a `hidden beast` number, since 5 + 6 + 9 + 7 + 4 + 1 + 624 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9204226251 + ... + 9204226869.

It is an arithmetic number, because the mean of its divisors is an integer number (16811061300).

Almost surely, 25697416240640 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 5697416240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759079232000).

5697416240640 is an abundant number, since it is smaller than the sum of its proper divisors (15820742223360).

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

5697416240640 is a wasteful number, since it uses less digits than its factorization.

5697416240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5697416240640 in words is "five trillion, six hundred ninety-seven billion, four hundred sixteen million, two hundred forty thousand, six hundred forty".