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5076842132736 = 283211319766617
BaseRepresentation
bin100100111100000101101…
…0111110011010100000000
3122222100012212010220220100
41021320023113303110000
51131134333041221421
614444134042042400
71032534611053503
oct111701327632400
918870185126810
105076842132736
111688093038190
1269bb141a9400
132aa989bbca6a
14137a12d8313a
158c0d8865c26
hex49e0b5f3500

5076842132736 has 432 divisors, whose sum is σ = 16653792250368. Its totient is φ = 1473439334400.

The previous prime is 5076842132729. The next prime is 5076842132771. The reversal of 5076842132736 is 6372312486705.

It is a happy number.

5076842132736 is a `hidden beast` number, since 50 + 76 + 8 + 421 + 32 + 73 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 76176100 + ... + 76242716.

It is an arithmetic number, because the mean of its divisors is an integer number (38550445024).

Almost surely, 25076842132736 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 5076842132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326896125184).

5076842132736 is an abundant number, since it is smaller than the sum of its proper divisors (11576950117632).

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

5076842132736 is a wasteful number, since it uses less digits than its factorization.

5076842132736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66778 (or 66761 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 5076842132736 in words is "five trillion, seventy-six billion, eight hundred forty-two million, one hundred thirty-two thousand, seven hundred thirty-six".