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29952085280 = 2551379182279
BaseRepresentation
bin11011111001010010…
…001000110100100000
32212022102010120201212
4123321102020310200
5442320213212110
621432041045252
72110145344535
oct337122106440
985272116655
1029952085280
1111780197a97
12597aa86828
132a94489bb0
141641d34d8c
15ba4811e05
hex6f9488d20

29952085280 has 96 divisors (see below), whose sum is σ = 77170060800. Its totient is φ = 10919181312.

The previous prime is 29952085277. The next prime is 29952085297. The reversal of 29952085280 is 8258025992.

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, 73181 + ... + 255459.

It is an arithmetic number, because the mean of its divisors is an integer number (803854800).

Almost surely, 229952085280 is an apocalyptic number.

29952085280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29952085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38585030400).

29952085280 is an abundant number, since it is smaller than the sum of its proper divisors (47217975520).

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

29952085280 is a wasteful number, since it uses less digits than its factorization.

29952085280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182386 (or 182378 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 29952085280 in words is "twenty-nine billion, nine hundred fifty-two million, eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 79 80 104 130 158 160 208 260 316 395 416 520 632 790 1027 1040 1264 1580 2054 2080 2528 3160 4108 5135 6320 8216 10270 12640 16432 20540 32864 41080 82160 164320 182279 364558 729116 911395 1458232 1822790 2369627 2916464 3645580 4739254 5832928 7291160 9478508 11848135 14400041 14582320 18957016 23696270 28800082 29164640 37914032 47392540 57600164 72000205 75828064 94785080 115200328 144000410 187200533 189570160 230400656 288000820 374401066 379140320 460801312 576001640 748802132 936002665 1152003280 1497604264 1872005330 2304006560 2995208528 3744010660 5990417056 7488021320 14976042640 29952085280