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5088655789056 = 21034722354437
BaseRepresentation
bin100101000001100101110…
…0001010100110000000000
3200000110201011121211210000
41022003023201110300000
51131333031340222211
614453410213440000
71033433430351300
oct112031341246000
920013634554700
105088655789056
1116920a5594014
126a2270640000
132abb2056c148
14138413d35600
158c57aa78656
hex4a0cb854c00

5088655789056 has 660 divisors, whose sum is σ = 18445544151408. Its totient is φ = 1390662991872.

The previous prime is 5088655789039. The next prime is 5088655789057. The reversal of 5088655789056 is 6509875568805.

5088655789056 is a `hidden beast` number, since 508 + 8 + 65 + 5 + 7 + 8 + 9 + 0 + 56 = 666.

It is a super-3 number, since 3×50886557890563 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (5088655789057) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 93450670 + ... + 93505106.

Almost surely, 25088655789056 is an apocalyptic number.

5088655789056 is a gapful number since it is divisible by the number (56) 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 5088655789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222772075704).

5088655789056 is an abundant number, since it is smaller than the sum of its proper divisors (13356888362352).

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

5088655789056 is a wasteful number, since it uses less digits than its factorization.

5088655789056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54506 (or 54472 counting only the distinct ones).

The product of its (nonzero) digits is 725760000, while the sum is 72.

The spelling of 5088655789056 in words is "five trillion, eighty-eight billion, six hundred fifty-five million, seven hundred eighty-nine thousand, fifty-six".