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32349979321 = 1128321972
BaseRepresentation
bin11110001000001101…
…011000001010111001
310002111112012012222021
4132020031120022321
51012223043314241
622510020154441
72223443200342
oct361015301271
9102445165867
1032349979321
11127a07a1300
126329b38a21
1330871b90ca
1417cc5a70c9
15c950be0d1
hex7883582b9

32349979321 has 27 divisors (see below), whose sum is σ = 36175442863. Its totient is φ = 28907259920.

The previous prime is 32349979313. The next prime is 32349979349. The reversal of 32349979321 is 12397994323.

The square root of 32349979321 is 179861.

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

It can be written as a sum of positive squares in only one way, i.e., 31696461225 + 653518096 = 178035^2 + 25564^2 .

It is not a de Polignac number, because 32349979321 - 23 = 32349979313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32349979381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 164212995 + ... + 164213191.

Almost surely, 232349979321 is an apocalyptic number.

32349979321 is the 179861-st square number.

32349979321 is the 89931-st centered octagonal number.

It is an amenable number.

32349979321 is a deficient number, since it is larger than the sum of its proper divisors (3825463542).

32349979321 is an frugal number, since it uses more digits than its factorization.

32349979321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 52.

The spelling of 32349979321 in words is "thirty-two billion, three hundred forty-nine million, nine hundred seventy-nine thousand, three hundred twenty-one".

Divisors: 1 11 83 121 197 913 2167 6889 10043 16351 23837 38809 75779 179861 426899 833569 1357133 1978471 3221147 4695889 14928463 35432617 164213093 267355201 389758787 2940907211 32349979321