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129585897728 = 2872911322067
BaseRepresentation
bin111100010101111101…
…0111110000100000000
3110101111001201200002122
41320223322332010000
54110342442211403
6135310403303412
712235154646050
oct1705372760400
9411431650078
10129585897728
114aa58951a51
122114607ab68
13c2b21663c1
1463b44b3560
153586816838
hex1e2bebe100

129585897728 has 144 divisors (see below), whose sum is σ = 308531825280. Its totient is φ = 53144813568.

The previous prime is 129585897713. The next prime is 129585897737. The reversal of 129585897728 is 827798585921.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5861351 + ... + 5883417.

It is an arithmetic number, because the mean of its divisors is an integer number (2142582120).

Almost surely, 2129585897728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129585897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154265912640).

129585897728 is an abundant number, since it is smaller than the sum of its proper divisors (178945927552).

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

129585897728 is a wasteful number, since it uses less digits than its factorization.

129585897728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22232 (or 22218 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 71.

The spelling of 129585897728 in words is "one hundred twenty-nine billion, five hundred eighty-five million, eight hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 113 116 128 203 224 226 232 256 406 448 452 464 791 812 896 904 928 1582 1624 1792 1808 1856 3164 3248 3277 3616 3712 6328 6496 6554 7232 7424 12656 12992 13108 14464 22067 22939 25312 25984 26216 28928 44134 45878 50624 51968 52432 88268 91756 101248 104864 154469 176536 183512 202496 209728 308938 353072 367024 419456 617876 639943 706144 734048 838912 1235752 1279886 1412288 1468096 2471504 2493571 2559772 2824576 2936192 4479601 4943008 4987142 5119544 5649152 5872384 8959202 9886016 9974284 10239088 17454997 17918404 19772032 19948568 20478176 34909994 35836808 39544064 39897136 40956352 69819988 71673616 72313559 79794272 81912704 139639976 143347232 144627118 159588544 163825408 279279952 286694464 289254236 319177088 506194913 558559904 573388928 578508472 638354176 1012389826 1117119808 1146777856 1157016944 2024779652 2234239616 2314033888 4049559304 4468479232 4628067776 8099118608 9256135552 16198237216 18512271104 32396474432 64792948864 129585897728