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973202229248 = 211217992
BaseRepresentation
bin11100010100101110101…
…11111000100000000000
310110001000010200121211012
432022113113320200000
5111421104232313443
62023025525140052
7130211600313344
oct16122727704000
93401003617735
10973202229248
11345807318117
1213874355a628
1370a07472b62
1435163407624
151a4add2b118
hexe2975f8800

973202229248 has 36 divisors (see below), whose sum is σ = 1946018533095. Its totient is φ = 486578792448.

The previous prime is 973202229239. The next prime is 973202229277. The reversal of 973202229248 is 842922202379.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 486601114624 + 486601114624 = 697568^2 + 697568^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=697568.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 973202229196 and 973202229205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 44633453 + ... + 44655251.

Almost surely, 2973202229248 is an apocalyptic number.

It is an amenable number.

973202229248 is a deficient number, since it is larger than the sum of its proper divisors (972816303847).

973202229248 is an frugal number, since it uses more digits than its factorization.

973202229248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43620 (or 21801 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

Multiplying 973202229248 by its sum of digits (50), we get a square (48660111462400 = 69756802).

The spelling of 973202229248 in words is "nine hundred seventy-three billion, two hundred two million, two hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 21799 43598 87196 174392 348784 697568 1395136 2790272 5580544 11161088 22322176 44644352 475196401 950392802 1900785604 3801571208 7603142416 15206284832 30412569664 60825139328 121650278656 243300557312 486601114624 973202229248