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8464329172 = 2213317531069
BaseRepresentation
bin1111110001000001…
…10110100111010100
3210211220010110210001
413320200312213110
5114313332013142
63515523541044
7416516416345
oct77040664724
923756113701
108464329172
113653990872
12178282a784
13a4b7b9000
145a42160cc
153481695b7
hex1f88369d4

8464329172 has 96 divisors (see below), whose sum is σ = 17327066400. Its totient is φ = 3604064256.

The previous prime is 8464329163. The next prime is 8464329179. The reversal of 8464329172 is 2719234648.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6893316676 + 1571012496 = 83026^2 + 39636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8464329179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7917454 + ... + 7918522.

It is an arithmetic number, because the mean of its divisors is an integer number (180490275).

Almost surely, 28464329172 is an apocalyptic number.

It is an amenable number.

8464329172 is an abundant number, since it is smaller than the sum of its proper divisors (8862737228).

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

8464329172 is a wasteful number, since it uses less digits than its factorization.

8464329172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1154 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 8464329172 is about 92001.7889608675. The cubic root of 8464329172 is about 2037.9687242699.

The spelling of 8464329172 in words is "eight billion, four hundred sixty-four million, three hundred twenty-nine thousand, one hundred seventy-two".

Divisors: 1 2 4 13 17 26 34 52 53 68 106 169 212 221 338 442 676 689 884 901 1069 1378 1802 2138 2197 2756 2873 3604 4276 4394 5746 8788 8957 11492 11713 13897 17914 18173 23426 27794 35828 36346 37349 46852 55588 56657 72692 74698 113314 116441 149396 152269 180661 226628 232882 236249 304538 361322 465764 472498 609076 722644 736541 944996 963169 1473082 1926338 1979497 2348593 2946164 3071237 3852676 3958994 4697186 6142474 7917988 9394372 9575033 12284948 12521197 19150066 25042394 38300132 39926081 50084788 79852162 124475429 159704324 162775561 248950858 325551122 497901716 651102244 2116082293 4232164586 8464329172