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5399187524640 = 25335713232959349
BaseRepresentation
bin100111010010001100010…
…1001111000110000100000
3201010011020122212110202000
41032210120221320300200
51201430014001242030
615252204050324000
71065035620510260
oct116443051706040
921104218773660
105399187524640
1117a1867668118
12732494b89600
133021ab2a2250
14149471a937a0
15956a2b2b860
hex4e918a78c20

5399187524640 has 3072 divisors, whose sum is σ = 25604812800000. Its totient is φ = 1031271284736.

The previous prime is 5399187524603. The next prime is 5399187524651. The reversal of 5399187524640 is 464257819935.

5399187524640 is a `hidden beast` number, since 5 + 3 + 9 + 91 + 87 + 5 + 2 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 15470451186 + ... + 15470451534.

It is an arithmetic number, because the mean of its divisors is an integer number (8334900000).

It is a 1-persistent number, because it is pandigital, but 2⋅5399187524640 = 10798375049280 is not.

Almost surely, 25399187524640 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 5399187524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802406400000).

5399187524640 is an abundant number, since it is smaller than the sum of its proper divisors (20205625275360).

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

5399187524640 is a wasteful number, since it uses less digits than its factorization.

5399187524640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 5399187524640 in words is "five trillion, three hundred ninety-nine billion, one hundred eighty-seven million, five hundred twenty-four thousand, six hundred forty".