Search a number
-
+
5992512454656 = 21533751331
BaseRepresentation
bin101011100110011110110…
…0100111000000000000000
3210012212201111101211122000
41113030331210320000000
51241140131142022111
620424531110544000
71155642021300000
oct127147544700000
923185644354560
105992512454656
111a00457068852
12809480368000
133461260429b0
1416a079600000
15a5d2b965c56
hex5733d938000

5992512454656 has 1536 divisors, whose sum is σ = 23027384217600. Its totient is φ = 1529460817920.

The previous prime is 5992512454651. The next prime is 5992512454711. The reversal of 5992512454656 is 6564542152995.

5992512454656 is a `hidden beast` number, since 5 + 9 + 9 + 2 + 512 + 4 + 54 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5992512454593 and 5992512454602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5992512454651) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 193306853361 + ... + 193306853391.

It is an arithmetic number, because the mean of its divisors is an integer number (14991786600).

Almost surely, 25992512454656 is an apocalyptic number.

5992512454656 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 5992512454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11513692108800).

5992512454656 is an abundant number, since it is smaller than the sum of its proper divisors (17034871762944).

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

5992512454656 is an frugal number, since it uses more digits than its factorization.

5992512454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 56 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 63.

The spelling of 5992512454656 in words is "five trillion, nine hundred ninety-two billion, five hundred twelve million, four hundred fifty-four thousand, six hundred fifty-six".