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29582104920 = 23351271941083
BaseRepresentation
bin11011100011001110…
…110001100101011000
32211100121221122002120
4123203032301211120
5441041004324140
621331223101240
72065033512564
oct334316614530
984317848076
1029582104920
11116003662a5
125896ba1820
132a359294c4
141608b466a4
15b820cd1d0
hex6e33b1958

29582104920 has 64 divisors (see below), whose sum is σ = 89445150720. Its totient is φ = 7826442624.

The previous prime is 29582104897. The next prime is 29582104921. The reversal of 29582104920 is 2940128592.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29582104921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955302 + ... + 985781.

It is an arithmetic number, because the mean of its divisors is an integer number (1397580480).

Almost surely, 229582104920 is an apocalyptic number.

29582104920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29582104920 is an abundant number, since it is smaller than the sum of its proper divisors (59863045800).

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

29582104920 is a wasteful number, since it uses less digits than its factorization.

29582104920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941224 (or 1941220 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 29582104920 in words is "twenty-nine billion, five hundred eighty-two million, one hundred four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 1941083 3882166 5823249 7764332 9705415 11646498 15528664 19410830 23292996 29116245 38821660 46585992 58232490 77643320 116464980 232929960 246517541 493035082 739552623 986070164 1232587705 1479105246 1972140328 2465175410 2958210492 3697763115 4930350820 5916420984 7395526230 9860701640 14791052460 29582104920