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2283532010496 = 21038112532
BaseRepresentation
bin100001001110101101000…
…111010100010000000000
322002022012021100100000000
4201032231013110100000
5244403133143313441
64505012400000000
7323660023554252
oct41165507242000
98068167310000
102283532010496
11800493319900
1230a692300000
1313744a681a99
147c74883bcd2
153e5eea522b6
hex213ad1d4400

2283532010496 has 891 divisors, whose sum is σ = 7670612846533. Its totient is φ = 678923182080.

The previous prime is 2283532010483. The next prime is 2283532010503. The reversal of 2283532010496 is 6940102353822.

The square root of 2283532010496 is 1511136.

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

2283532010496 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 532 + 0 + 104 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1646191641600 + 637340368896 = 1283040^2 + 798336^2 .

It is a tau number, because it is divible by the number of its divisors (891).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43085509606 + ... + 43085509658.

Almost surely, 22283532010496 is an apocalyptic number.

2283532010496 is the 1511136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2283532010496

2283532010496 is an abundant number, since it is smaller than the sum of its proper divisors (5387080836037).

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

2283532010496 is an frugal number, since it uses more digits than its factorization.

2283532010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2283532010496 in words is "two trillion, two hundred eighty-three billion, five hundred thirty-two million, ten thousand, four hundred ninety-six".