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46473442929 = 3417214092
BaseRepresentation
bin101011010010000010…
…000111011001110001
311102221210222111210000
4223102002013121301
51230134200133204
633203303100213
73233440514154
oct532202073161
9142853874700
1046473442929
1118789057581
12900ba41669
1344c8265574
14236c21bc9b
15131ee8e039
hexad2087671

46473442929 has 45 divisors (see below), whose sum is σ = 73799610577. Its totient is φ = 29139111936.

The previous prime is 46473442921. The next prime is 46473443057. The reversal of 46473442929 is 92924437464.

The square root of 46473442929 is 215577.

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

46473442929 is a `hidden beast` number, since 4 + 6 + 4 + 7 + 344 + 292 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6294042225 + 40179400704 = 79335^2 + 200448^2 .

It is not a de Polignac number, because 46473442929 - 23 = 46473442921 is a prime.

It is a super-3 number, since 3×464734429293 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46473442921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32982577 + ... + 32983985.

Almost surely, 246473442929 is an apocalyptic number.

46473442929 is the 215577-th square number.

46473442929 is the 107789-th centered octagonal number.

It is an amenable number.

46473442929 is a deficient number, since it is larger than the sum of its proper divisors (27326167648).

46473442929 is an frugal number, since it uses more digits than its factorization.

46473442929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 1429 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 46473442929 in words is "forty-six billion, four hundred seventy-three million, four hundred forty-two thousand, nine hundred twenty-nine".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 1409 2601 4227 7803 12681 23409 23953 38043 71859 114129 215577 407201 646731 1221603 1940193 1985281 3664809 5955843 10994427 17867529 32983281 33749777 53602587 101249331 160807761 303747993 573746209 911243979 1721238627 2733731937 5163715881 15491147643 46473442929