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5076916745472 = 2835112133307
BaseRepresentation
bin100100111100000111111…
…0100011011010100000000
3122222100102001112122100000
41021320033310123110000
51131140011141323342
614444145305200000
71032536505211365
oct111701764332400
918870361478300
105076916745472
111688121169900
1269bb35190000
132aa99c4b5000
14137a1cc4646c
158c0e01a344c
hex49e0fd1b500

5076916745472 has 1296 divisors, whose sum is σ = 18134333497280. Its totient is φ = 1415490785280.

The previous prime is 5076916745419. The next prime is 5076916745477. The reversal of 5076916745472 is 2745476196705.

5076916745472 is a `hidden beast` number, since 5 + 0 + 7 + 6 + 9 + 16 + 74 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5076916745477) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 16537187943 + ... + 16537188249.

Almost surely, 25076916745472 is an apocalyptic number.

5076916745472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5076916745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9067166748640).

5076916745472 is an abundant number, since it is smaller than the sum of its proper divisors (13057416751808).

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

5076916745472 is an equidigital number, since it uses as much as digits as its factorization.

5076916745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 5076916745472 in words is "five trillion, seventy-six billion, nine hundred sixteen million, seven hundred forty-five thousand, four hundred seventy-two".