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2939129856 = 21232136133
BaseRepresentation
bin1010111100101111…
…1001000000000000
321120211111021012100
42233023321000000
522004404123411
61203351430400
7132556122465
oct25713710000
97524437170
102939129856
111279075843
126a0385400
1337abc14c0
141dc4bd66c
1512306d456
hexaf2f9000

2939129856 has 156 divisors (see below), whose sum is σ = 9144334108. Its totient is φ = 904200192.

The previous prime is 2939129839. The next prime is 2939129861. The reversal of 2939129856 is 6589219392.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1784217600 + 1154912256 = 42240^2 + 33984^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476166 + ... + 482298.

Almost surely, 22939129856 is an apocalyptic number.

2939129856 is a gapful number since it is divisible by the number (26) 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 2939129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572167054).

2939129856 is an abundant number, since it is smaller than the sum of its proper divisors (6205204252).

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

2939129856 is a wasteful number, since it uses less digits than its factorization.

2939129856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6151 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 2939129856 is about 54213.7423168702. The cubic root of 2939129856 is about 1432.4284060964.

The spelling of 2939129856 in words is "two billion, nine hundred thirty-nine million, one hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4096 4608 4992 6133 6144 6656 7488 9216 9984 12266 12288 13312 14976 18399 18432 19968 24532 26624 29952 36798 36864 39936 49064 53248 55197 59904 73596 79729 79872 98128 110394 119808 147192 159458 159744 196256 220788 239187 239616 294384 318916 392512 441576 478374 479232 588768 637832 717561 785024 883152 956748 1177536 1275664 1435122 1570048 1766304 1913496 2355072 2551328 2870244 3140096 3532608 3826992 4710144 5102656 5740488 6280192 7065216 7653984 9420288 10205312 11480976 12560384 14130432 15307968 18840576 20410624 22961952 25120768 28260864 30615936 37681152 40821248 45923904 56521728 61231872 75362304 81642496 91847808 113043456 122463744 163284992 183695616 226086912 244927488 326569984 367391232 489854976 734782464 979709952 1469564928 2939129856