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9940887616 = 261141032
BaseRepresentation
bin10010100001000010…
…11110100001000000
3221122210112102011211
421100201132201000
5130324331400431
64322231415504
7501226102432
oct112041364100
927583472154
109940887616
114241410000
121b15224594
13c2569152a
146a4376652
153d2ad32b1
hex25085e840

9940887616 has 105 divisors (see below), whose sum is σ = 21911673855. Its totient is φ = 4474715520.

The previous prime is 9940887613. The next prime is 9940887629. The reversal of 9940887616 is 6167880499.

The square root of 9940887616 is 99704.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9940887613) 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, 96513421 + ... + 96513523.

Almost surely, 29940887616 is an apocalyptic number.

9940887616 is the 99704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9940887616

9940887616 is an abundant number, since it is smaller than the sum of its proper divisors (11970786239).

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

9940887616 is an frugal number, since it uses more digits than its factorization.

9940887616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The cubic root of 9940887616 is about 2150.1811721135.

The spelling of 9940887616 in words is "nine billion, nine hundred forty million, eight hundred eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 121 176 206 242 352 412 484 704 824 968 1133 1331 1648 1936 2266 2662 3296 3872 4532 5324 6592 7744 9064 10609 10648 12463 14641 18128 21218 21296 24926 29282 36256 42436 42592 49852 58564 72512 84872 85184 99704 116699 117128 137093 169744 199408 233398 234256 274186 339488 398816 466796 468512 548372 678976 797632 933592 937024 1096744 1283689 1508023 1867184 2193488 2567378 3016046 3734368 4386976 5134756 6032092 7468736 8773952 10269512 12064184 14120579 20539024 24128368 28241158 41078048 48256736 56482316 82156096 96513472 112964632 155326369 225929264 310652738 451858528 621305476 903717056 1242610952 2485221904 4970443808 9940887616