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4480069968 = 2432112828327
BaseRepresentation
bin1000010110000100…
…00111000101010000
3102120020001010122100
410023002013011100
533133344214333
62020315240400
7216006652323
oct41302070520
912506033570
104480069968
111999978970
12a50449100
1356521919a
14306ddc7ba
151b34a3213
hex10b087150

4480069968 has 60 divisors (see below), whose sum is σ = 13677794208. Its totient is φ = 1357596480.

The previous prime is 4480069961. The next prime is 4480070011. The reversal of 4480069968 is 8699600844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480069961) 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 11 ways as a sum of consecutive naturals, for example, 1412580 + ... + 1415747.

Almost surely, 24480069968 is an apocalyptic number.

4480069968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4480069968 is an abundant number, since it is smaller than the sum of its proper divisors (9197724240).

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

4480069968 is a wasteful number, since it uses less digits than its factorization.

4480069968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828352 (or 2828343 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4480069968 is about 66933.3247941562. The cubic root of 4480069968 is about 1648.5227019648.

The spelling of 4480069968 in words is "four billion, four hundred eighty million, sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2828327 5656654 8484981 11313308 16969962 22626616 25454943 31111597 33939924 45253232 50909886 62223194 67879848 93334791 101819772 124446388 135759696 186669582 203639544 248892776 280004373 373339164 407279088 497785552 560008746 746678328 1120017492 1493356656 2240034984 4480069968