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13002716322 = 234174312
BaseRepresentation
bin11000001110000010…
…11011010010100010
31020120011220102120000
430013001123102202
5203112143410242
65550125200430
7640135156641
oct140701332242
936504812500
1013002716322
115572770252
12262a700116
1312c2b131ab
148b4c75358
155117dba4c
hex30705b4a2

13002716322 has 150 divisors (see below), whose sum is σ = 31987492119. Its totient is φ = 3947693760.

The previous prime is 13002716303. The next prime is 13002716323. The reversal of 13002716322 is 22361720031.

13002716322 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 27 + 1 + 632 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12516910641 + 485805681 = 111879^2 + 22041^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13002716323) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 419442447 + ... + 419442477.

Almost surely, 213002716322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002716322

13002716322 is an abundant number, since it is smaller than the sum of its proper divisors (18984775797).

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

13002716322 is an frugal number, since it uses more digits than its factorization.

13002716322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13002716322 in words is "thirteen billion, two million, seven hundred sixteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 102 153 162 186 279 289 306 459 527 558 578 837 867 918 961 1054 1377 1581 1674 1734 1922 2511 2601 2754 2883 3162 4743 4913 5022 5202 5766 7803 8649 8959 9486 9826 14229 14739 15606 16337 17298 17918 23409 25947 26877 28458 29478 32674 42687 44217 46818 49011 51894 53754 77841 80631 83521 85374 88434 98022 132651 147033 152303 155682 161262 167042 241893 250563 265302 277729 294066 304606 397953 441099 456909 483786 501126 555458 725679 751689 795906 833187 882198 913818 1323297 1370727 1451358 1503378 1666374 2255067 2499561 2589151 2646594 2741454 4112181 4510134 4721393 4999122 5178302 6765201 7498683 7767453 8224362 9442786 12336543 13530402 14164179 14997366 15534906 22496049 23302359 24673086 28328358 42492537 44992098 46604718 69907077 80263681 84985074 127477611 139814154 160527362 209721231 240791043 254955222 382432833 419442462 481582086 722373129 764865666 1444746258 2167119387 4334238774 6501358161 13002716322