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495796240384 = 21455012
BaseRepresentation
bin1110011011011111100…
…00100100000000000000
31202101201220002121010221
413031233300210000000
531110342314143014
61015433214032424
750551202336404
oct7155760440000
91671656077127
10495796240384
111812a20636a5
12801091a8714
13379a4256a53
1419dd4bcd104
15cd6ba5eb24
hex736fc24000

495796240384 has 45 divisors (see below), whose sum is σ = 991742503801. Its totient is φ = 247853056000.

The previous prime is 495796240363. The next prime is 495796240469. The reversal of 495796240384 is 483042697594.

It is a happy number.

The square root of 495796240384 is 704128.

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., 486824361984 + 8971878400 = 697728^2 + 94720^2 .

It is a super-2 number, since 2×4957962403842 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 90125634 + ... + 90131134.

Almost surely, 2495796240384 is an apocalyptic number.

495796240384 is the 704128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495796240384

495796240384 is an abundant number, since it is smaller than the sum of its proper divisors (495946263417).

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

495796240384 is an frugal number, since it uses more digits than its factorization.

495796240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11030 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 495796240384 in words is "four hundred ninety-five billion, seven hundred ninety-six million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5501 8192 11002 16384 22004 44008 88016 176032 352064 704128 1408256 2816512 5633024 11266048 22532096 30261001 45064192 60522002 90128384 121044004 242088008 484176016 968352032 1936704064 3873408128 7746816256 15493632512 30987265024 61974530048 123949060096 247898120192 495796240384