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990630052416 = 263211323672
BaseRepresentation
bin11100110101001100010…
…01110000001001000000
310111200222201012202210100
432122212021300021000
5112212302243134131
62035031132002400
7131366510340414
oct16324611601100
93450881182710
10990630052416
1135213a925664
1213bba8000400
1372553c99a64
1435d37c50d44
151ab7dd607e6
hexe6a6270240

990630052416 has 189 divisors, whose sum is σ = 2872639835481. Its totient is φ = 326396012544.

The previous prime is 990630052403. The next prime is 990630052421. The reversal of 990630052416 is 614250036099.

The square root of 990630052416 is 995304.

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

990630052416 is a `hidden beast` number, since 9 + 9 + 0 + 630 + 0 + 5 + 2 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17455694400 + 973174358016 = 132120^2 + 986496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2699264265 + ... + 2699264631.

Almost surely, 2990630052416 is an apocalyptic number.

990630052416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

990630052416 is the 995304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990630052416

990630052416 is an abundant number, since it is smaller than the sum of its proper divisors (1882009783065).

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

990630052416 is an equidigital number, since it uses as much as digits as its factorization.

990630052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 990630052416 in words is "nine hundred ninety billion, six hundred thirty million, fifty-two thousand, four hundred sixteen".