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29479728355 = 57113712831613
BaseRepresentation
bin11011011101001000…
…001111010011100011
32211002111022100211221
4123131020033103203
5440333302301410
621313124515511
72062351361620
oct333510172343
984074270757
1029479728355
11115585a1270
12586884bb97
132a1a66305c
1415d92d7347
15b781094da
hex6dd20f4e3

29479728355 has 64 divisors (see below), whose sum is σ = 45360165888. Its totient is φ = 17855285760.

The previous prime is 29479728329. The next prime is 29479728371. The reversal of 29479728355 is 55382797492.

It is not a de Polignac number, because 29479728355 - 211 = 29479726307 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29479728293 and 29479728302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18275529 + ... + 18277141.

It is an arithmetic number, because the mean of its divisors is an integer number (708752592).

Almost surely, 229479728355 is an apocalyptic number.

29479728355 is a deficient number, since it is larger than the sum of its proper divisors (15880437533).

29479728355 is a wasteful number, since it uses less digits than its factorization.

29479728355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956.

The product of its digits is 38102400, while the sum is 61.

The spelling of 29479728355 in words is "twenty-nine billion, four hundred seventy-nine million, seven hundred twenty-eight thousand, three hundred fifty-five".

Divisors: 1 5 7 11 35 37 55 77 185 259 385 407 1283 1295 1613 2035 2849 6415 8065 8981 11291 14113 14245 17743 44905 47471 56455 59681 70565 88715 98791 124201 237355 298405 332297 417767 493955 522181 621005 656491 1661485 2069479 2088835 2610905 3282455 3655267 4595437 10347395 14486353 18276335 22764269 22977185 72431765 76570723 113821345 159349883 382853615 535995061 796749415 842277953 2679975305 4211389765 5895945671 29479728355