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5087992516992 = 273471147135601
BaseRepresentation
bin100101000001010001111…
…1111001001000110000000
3200000101222221120010120000
41022002203333021012000
51131330202041020432
614453220321320000
71033411124546430
oct112024377110600
920011887503500
105087992516992
11169189514a990
126a2106496000
132aba4601c178
1413838dbdc2c0
158c53c70d57c
hex4a0a3fc9180

5087992516992 has 640 divisors, whose sum is σ = 19279870663680. Its totient is φ = 1293428736000.

The previous prime is 5087992516969. The next prime is 5087992517033. The reversal of 5087992516992 is 2996152997805.

5087992516992 is a `hidden beast` number, since 508 + 7 + 9 + 9 + 2 + 51 + 69 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5087992516992.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 37453992 + ... + 37589592.

It is an arithmetic number, because the mean of its divisors is an integer number (30124797912).

Almost surely, 25087992516992 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 5087992516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639935331840).

5087992516992 is an abundant number, since it is smaller than the sum of its proper divisors (14191878146688).

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

5087992516992 is a wasteful number, since it uses less digits than its factorization.

5087992516992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135692 (or 135671 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 5087992516992 in words is "five trillion, eighty-seven billion, nine hundred ninety-two million, five hundred sixteen thousand, nine hundred ninety-two".