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5925680544 = 2537261107193
BaseRepresentation
bin1011000010011001…
…01011010110100000
3120021222012202112210
411201030223112200
544113433234134
62415555522120
7266562311400
oct54114532640
916258182483
105925680544
11257098a553
1211945b9340
13735877164
14402dc4800
1524a3572e9
hex16132b5a0

5925680544 has 288 divisors, whose sum is σ = 18659180736. Its totient is φ = 1641185280.

The previous prime is 5925680543. The next prime is 5925680549. The reversal of 5925680544 is 4450865295.

It is a super-3 number, since 3×59256805443 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5925680493 and 5925680502.

It is not an unprimeable number, because it can be changed into a prime (5925680543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30702912 + ... + 30703104.

It is an arithmetic number, because the mean of its divisors is an integer number (64788822).

Almost surely, 25925680544 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 5925680544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329590368).

5925680544 is an abundant number, since it is smaller than the sum of its proper divisors (12733500192).

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

5925680544 is a wasteful number, since it uses less digits than its factorization.

5925680544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The square root of 5925680544 is about 76978.4420730895. The cubic root of 5925680544 is about 1809.5867664635.

The spelling of 5925680544 in words is "five billion, nine hundred twenty-five million, six hundred eighty thousand, five hundred forty-four".