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9969984928 = 25734267973
BaseRepresentation
bin10010100100100000…
…11110010110100000
3221201211021201012001
421102100132112200
5130404304004203
64325151213344
7502031321311
oct112220362640
927654251161
109969984928
114256884272
121b22b17254
13c2b70b687
146a818c608
153d542e91d
hex25241e5a0

9969984928 has 24 divisors (see below), whose sum is σ = 19897294788. Its totient is φ = 4916703744.

The previous prime is 9969984901. The next prime is 9969984943. The reversal of 9969984928 is 8294899699.

It can be written as a sum of positive squares in 2 ways, for example, as 8698919824 + 1271065104 = 93268^2 + 35652^2 .

It is a Harshad number since it is a multiple of its sum of digits (73).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2131651 + ... + 2136322.

Almost surely, 29969984928 is an apocalyptic number.

It is an amenable number.

9969984928 is a deficient number, since it is larger than the sum of its proper divisors (9927309860).

9969984928 is a wasteful number, since it uses less digits than its factorization.

9969984928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268056 (or 4268048 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 73.

The square root of 9969984928 is about 99849.8118576094. The cubic root of 9969984928 is about 2152.2770127505.

The spelling of 9969984928 in words is "nine billion, nine hundred sixty-nine million, nine hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 73 146 292 584 1168 2336 4267973 8535946 17071892 34143784 68287568 136575136 311562029 623124058 1246248116 2492496232 4984992464 9969984928