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29997634256 = 244161749641
BaseRepresentation
bin11011111011111111…
…111001001011010000
32212102120211201011222
4123323333321023100
5442413343244011
621440345224212
72111240453432
oct337377711320
985376751158
1029997634256
11117a3978677
125992192068
132aa0a47355
141647dd0652
15ba880cddb
hex6fbff92d0

29997634256 has 40 divisors (see below), whose sum is σ = 60514100808. Its totient is φ = 14393088000.

The previous prime is 29997634253. The next prime is 29997634259. The reversal of 29997634256 is 65243679992.

It is an interprime number because it is at equal distance from previous prime (29997634253) and next prime (29997634259).

It can be written as a sum of positive squares in 4 ways, for example, as 5343610000 + 24654024256 = 73100^2 + 157016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29997634253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334805 + ... + 414836.

Almost surely, 229997634256 is an apocalyptic number.

It is an amenable number.

29997634256 is an abundant number, since it is smaller than the sum of its proper divisors (30516466552).

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

29997634256 is a wasteful number, since it uses less digits than its factorization.

29997634256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749751 (or 749745 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 62.

The spelling of 29997634256 in words is "twenty-nine billion, nine hundred ninety-seven million, six hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 41 61 82 122 164 244 328 488 656 976 2501 5002 10004 20008 40016 749641 1499282 2998564 5997128 11994256 30735281 45728101 61470562 91456202 122941124 182912404 245882248 365824808 491764496 731649616 1874852141 3749704282 7499408564 14998817128 29997634256