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4413349632 = 28347122267
BaseRepresentation
bin1000001110000111…
…00101111100000000
3102101120111101112210
410013003211330000
533014304142012
62005533222120
7214236565356
oct40703457400
912346441483
104413349632
11196524799a
12a32031940
135544583b3
142dc1d17d6
151ac6c423c
hex1070e5f00

4413349632 has 72 divisors (see below), whose sum is σ = 11995958016. Its totient is φ = 1439804416.

The previous prime is 4413349613. The next prime is 4413349637. The reversal of 4413349632 is 2369433144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413349637) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25038 + ... + 97229.

It is an arithmetic number, because the mean of its divisors is an integer number (166610528).

Almost surely, 24413349632 is an apocalyptic number.

It is an amenable number.

4413349632 is an abundant number, since it is smaller than the sum of its proper divisors (7582608384).

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

4413349632 is a wasteful number, since it uses less digits than its factorization.

4413349632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122333 (or 122319 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The square root of 4413349632 is about 66433.0462345360. The cubic root of 4413349632 is about 1640.2980858128.

The spelling of 4413349632 in words is "four billion, four hundred thirteen million, three hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 4512 6016 9024 12032 18048 36096 122267 244534 366801 489068 733602 978136 1467204 1956272 2934408 3912544 5746549 5868816 7825088 11493098 11737632 15650176 17239647 22986196 23475264 31300352 34479294 45972392 46950528 68958588 91944784 93901056 137917176 183889568 275834352 367779136 551668704 735558272 1103337408 1471116544 2206674816 4413349632