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4329446401 = 72677916693
BaseRepresentation
bin1000000100000111…
…00001110000000001
3102011201121122221201
410002003201300001
532331314241101
61553335021201
7212200454500
oct40203416001
912151548851
104329446401
111921950185
12a09b0a801
1353cc5c507
142d0dd0837
151a514de01
hex1020e1c01

4329446401 has 24 divisors (see below), whose sum is σ = 5176475520. Its totient is φ = 3609077472.

The previous prime is 4329446393. The next prime is 4329446413. The reversal of 4329446401 is 1046449234.

It is not a de Polignac number, because 4329446401 - 23 = 4329446393 is a prime.

It is a super-2 number, since 2×43294464012 = 37488212278263705602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4329444401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251011 + ... + 267703.

It is an arithmetic number, because the mean of its divisors is an integer number (215686480).

Almost surely, 24329446401 is an apocalyptic number.

It is an amenable number.

4329446401 is a deficient number, since it is larger than the sum of its proper divisors (847029119).

4329446401 is a wasteful number, since it uses less digits than its factorization.

4329446401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16853 (or 16846 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 4329446401 is about 65798.5288665332. The cubic root of 4329446401 is about 1629.8368111685.

The spelling of 4329446401 in words is "four billion, three hundred twenty-nine million, four hundred forty-six thousand, four hundred one".

Divisors: 1 7 49 67 79 469 553 3283 3871 5293 16693 37051 116851 259357 817957 1118431 1318747 7829017 9231229 54803119 64618603 88356049 618492343 4329446401