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129945360768 = 2731073162611
BaseRepresentation
bin111100100000101011…
…0001101100110000000
3110102102010010021200120
41321001112031212000
54112112003021033
6135410204020240
712250111225206
oct1710126154600
9412363107616
10129945360768
115012284a943
1221226531680
13c33b783922
14640a125076
1535a816e1b3
hex1e4158d980

129945360768 has 64 divisors (see below), whose sum is σ = 348393337920. Its totient is φ = 42910292480.

The previous prime is 129945360707. The next prime is 129945360781. The reversal of 129945360768 is 867063549921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1540218 + ... + 1622393.

It is an arithmetic number, because the mean of its divisors is an integer number (5443645905).

It is a 1-persistent number, because it is pandigital, but 2⋅129945360768 = 259890721536 is not.

Almost surely, 2129945360768 is an apocalyptic number.

It is an amenable number.

129945360768 is an abundant number, since it is smaller than the sum of its proper divisors (218447977152).

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

129945360768 is a wasteful number, since it uses less digits than its factorization.

129945360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162735 (or 3162723 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 129945360768 in words is "one hundred twenty-nine billion, nine hundred forty-five million, three hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3424 5136 6848 10272 13696 20544 41088 3162611 6325222 9487833 12650444 18975666 25300888 37951332 50601776 75902664 101203552 151805328 202407104 303610656 338399377 404814208 607221312 676798754 1015198131 1214442624 1353597508 2030396262 2707195016 4060792524 5414390032 8121585048 10828780064 16243170096 21657560128 32486340192 43315120256 64972680384 129945360768