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5130542697840 = 2433571576721521
BaseRepresentation
bin100101010101000110000…
…1011001100110101110000
3200011110211100020021112000
41022222030023030311300
51133024322412312330
614524534435334000
71036445426246010
oct112521413146560
920143740207460
105130542697840
1116a893a6665aa
126aa400451300
132b2a67520681
1413a468d5dc40
158d6cd034560
hex4aa8c2ccd70

5130542697840 has 320 divisors, whose sum is σ = 20198641489920. Its totient is φ = 1172566609920.

The previous prime is 5130542697739. The next prime is 5130542697869. The reversal of 5130542697840 is 487962450315.

It is a happy number.

5130542697840 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 542 + 6 + 97 + 8 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238386280 + ... + 238407800.

It is an arithmetic number, because the mean of its divisors is an integer number (63120754656).

It is a 1-persistent number, because it is pandigital, but 2⋅5130542697840 = 10261085395680 is not.

Almost surely, 25130542697840 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 5130542697840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099320744960).

5130542697840 is an abundant number, since it is smaller than the sum of its proper divisors (15068098792080).

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

5130542697840 is a wasteful number, since it uses less digits than its factorization.

5130542697840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37317 (or 37305 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5130542697840 in words is "five trillion, one hundred thirty billion, five hundred forty-two million, six hundred ninety-seven thousand, eight hundred forty".