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10997872220416 = 282072692
BaseRepresentation
bin1010000000001010010001…
…0001000101100100000000
31102221101102121212021110011
42200002210101011210000
52420142120242023131
635220204105514304
72213366345306314
oct240024421054400
942841377767404
1010997872220416
113560198177694
1212975651a2994
1361a13065aa93
142a042ab37b44
1514112e9a60b1
hexa00a4445900

10997872220416 has 27 divisors (see below), whose sum is σ = 21952889917441. Its totient is φ = 5498909579776.

The previous prime is 10997872220371. The next prime is 10997872220443. The reversal of 10997872220416 is 61402227879901.

The square root of 10997872220416 is 3316304.

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., 115262966016 + 10882609254400 = 339504^2 + 3298880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 52957230 + ... + 53164498.

Almost surely, 210997872220416 is an apocalyptic number.

10997872220416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10997872220416 is the 3316304-th square number.

It is an amenable number.

10997872220416 is a deficient number, since it is larger than the sum of its proper divisors (10955017697025).

10997872220416 is an frugal number, since it uses more digits than its factorization.

10997872220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414554 (or 207271 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 10997872220416 in words is "ten trillion, nine hundred ninety-seven billion, eight hundred seventy-two million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 207269 414538 829076 1658152 3316304 6632608 13265216 26530432 53060864 42960438361 85920876722 171841753444 343683506888 687367013776 1374734027552 2749468055104 5498936110208 10997872220416