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29001968928 = 2532100701281
BaseRepresentation
bin11011000000101001…
…101110110100100000
32202212012022200010100
4123000221232310200
5433344001001203
621153500502400
72044460445162
oct330051566440
982765280110
1029001968928
1111332945569
12575484aa00
13297269717a
141591a90932
15b4b1d5ea3
hex6c0a6ed20

29001968928 has 36 divisors (see below), whose sum is σ = 82474349958. Its totient is φ = 9667322880.

The previous prime is 29001968921. The next prime is 29001968939. The reversal of 29001968928 is 82986910092.

It can be written as a sum of positive squares in only one way, i.e., 20594546064 + 8407422864 = 143508^2 + 91692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×290019689282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29001968921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50350353 + ... + 50350928.

Almost surely, 229001968928 is an apocalyptic number.

It is an amenable number.

29001968928 is an abundant number, since it is smaller than the sum of its proper divisors (53472381030).

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

29001968928 is a wasteful number, since it uses less digits than its factorization.

29001968928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100701297 (or 100701286 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 29001968928 in words is "twenty-nine billion, one million, nine hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 100701281 201402562 302103843 402805124 604207686 805610248 906311529 1208415372 1611220496 1812623058 2416830744 3222440992 3625246116 4833661488 7250492232 9667322976 14500984464 29001968928