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29006625248 = 2553127134669
BaseRepresentation
bin11011000000111011…
…011111100111100000
32202212112002020101122
4123000323133213200
5433401144001443
621154144351412
72044545150356
oct330073374740
982775066348
1029006625248
1111335535967
125756315568
1329736376a3
1415925437d6
15b4b805968
hex6c0edf9e0

29006625248 has 48 divisors (see below), whose sum is σ = 58642859520. Its totient is φ = 14117515776.

The previous prime is 29006625229. The next prime is 29006625251. The reversal of 29006625248 is 84252660092.

It is a super-2 number, since 2×290066252482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29006625199 and 29006625208.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 148058 + ... + 282726.

It is an arithmetic number, because the mean of its divisors is an integer number (1221726240).

Almost surely, 229006625248 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 29006625248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29321429760).

29006625248 is an abundant number, since it is smaller than the sum of its proper divisors (29636234272).

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

29006625248 is a wasteful number, since it uses less digits than its factorization.

29006625248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134859 (or 134851 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 29006625248 in words is "twenty-nine billion, six million, six hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 53 106 127 212 254 424 508 848 1016 1696 2032 4064 6731 13462 26924 53848 107696 134669 215392 269338 538676 1077352 2154704 4309408 7137457 14274914 17102963 28549828 34205926 57099656 68411852 114199312 136823704 228398624 273647408 547294816 906457039 1812914078 3625828156 7251656312 14503312624 29006625248