Search a number
-
+
554966891521 = 7231234332
BaseRepresentation
bin10000001001101101001…
…10101011110000000001
31222001110121010010010121
420010312212223300001
533043033011012041
61102540454300241
755044411513400
oct10046646536001
91861417103117
10554966891521
111a43a6384679
128b681357681
1340443c26563
141cc09477637
15e68158e7d1
hex81369abc01

554966891521 has 27 divisors (see below), whose sum is σ = 667264830723. Its totient is φ = 460207107360.

The previous prime is 554966891431. The next prime is 554966891561. The reversal of 554966891521 is 125198669455.

The square root of 554966891521 is 744961.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 183676530625 + 371290360896 = 428575^2 + 609336^2 .

It is not a de Polignac number, because 554966891521 - 29 = 554966891009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 554966891521.

It is not an unprimeable number, because it can be changed into a prime (554966891561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161654821 + ... + 161658253.

It is an arithmetic number, because the mean of its divisors is an integer number (24713512249).

Almost surely, 2554966891521 is an apocalyptic number.

554966891521 is the 744961-st square number.

554966891521 is the 372481-st centered octagonal number.

It is an amenable number.

554966891521 is a deficient number, since it is larger than the sum of its proper divisors (112297939202).

554966891521 is an frugal number, since it uses more digits than its factorization.

554966891521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942 (or 3471 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 61.

The spelling of 554966891521 in words is "five hundred fifty-four billion, nine hundred sixty-six million, eight hundred ninety-one thousand, five hundred twenty-one".

Divisors: 1 7 31 49 217 961 1519 3433 6727 24031 47089 106423 168217 744961 3299113 5214727 11785489 23093791 82498423 161656537 365350159 577488961 2557451113 11325854929 17902157791 79280984503 554966891521