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46824199321 = 35326132
BaseRepresentation
bin101011100110111100…
…001001010010011001
311110212020222210002111
4223212330021102121
51231343443334241
633302153032321
73245230061434
oct534674112231
9143766883074
1046824199321
1118949048a99
1290a93b56a1
134552b24b23
1423a2a4481b
151340b76c81
hexae6f09499

46824199321 has 9 divisors (see below), whose sum is σ = 47033948829. Its totient is φ = 46615383936.

The previous prime is 46824199267. The next prime is 46824199343. The reversal of 46824199321 is 12399142864.

It is a happy number.

The square root of 46824199321 is 216389.

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

46824199321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25150470921 + 21673728400 = 158589^2 + 147220^2 .

It is not a de Polignac number, because 46824199321 - 221 = 46822102169 is a prime.

It is a super-2 number, since 2×468241993212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46824199361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76385011 + ... + 76385623.

Almost surely, 246824199321 is an apocalyptic number.

46824199321 is the 216389-th square number.

46824199321 is the 108195-th centered octagonal number.

It is an amenable number.

46824199321 is a deficient number, since it is larger than the sum of its proper divisors (209749508).

46824199321 is an frugal number, since it uses more digits than its factorization.

46824199321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 966 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

Multiplying 46824199321 by its sum of digits (49), we get a square (2294385766729 = 15147232).

The spelling of 46824199321 in words is "forty-six billion, eight hundred twenty-four million, one hundred ninety-nine thousand, three hundred twenty-one".

Divisors: 1 353 613 124609 216389 375769 76385317 132646457 46824199321