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8816458816 = 26114972
BaseRepresentation
bin10000011011000000…
…00111110001000000
3211202102201111211201
420031200013301000
5121024003140231
64014503150544
7431323443364
oct101540076100
924672644751
108816458816
113814730000
121860745454
13aa6739649
145d8cb92a4
15369024161
hex20d807c40

8816458816 has 105 divisors (see below), whose sum is σ = 19444999845. Its totient is φ = 3966167040.

The previous prime is 8816458813. The next prime is 8816458843. The reversal of 8816458816 is 6188546188.

The square root of 8816458816 is 93896.

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., 3958926400 + 4857532416 = 62920^2 + 69696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8816458813) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 90891280 + ... + 90891376.

Almost surely, 28816458816 is an apocalyptic number.

8816458816 is the 93896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8816458816

8816458816 is an abundant number, since it is smaller than the sum of its proper divisors (10628541029).

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

8816458816 is an frugal number, since it uses more digits than its factorization.

8816458816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 110 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 55.

The cubic root of 8816458816 is about 2065.8465587279.

The spelling of 8816458816 in words is "eight billion, eight hundred sixteen million, four hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 121 176 194 242 352 388 484 704 776 968 1067 1331 1552 1936 2134 2662 3104 3872 4268 5324 6208 7744 8536 9409 10648 11737 14641 17072 18818 21296 23474 29282 34144 37636 42592 46948 58564 68288 75272 85184 93896 103499 117128 129107 150544 187792 206998 234256 258214 301088 375584 413996 468512 516428 602176 751168 827992 937024 1032856 1138489 1420177 1655984 2065712 2276978 2840354 3311968 4131424 4553956 5680708 6623936 8262848 9107912 11361416 12523379 18215824 22722832 25046758 36431648 45445664 50093516 72863296 90891328 100187032 137757169 200374064 275514338 400748128 551028676 801496256 1102057352 2204114704 4408229408 8816458816