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29444945688 = 23373175309
BaseRepresentation
bin11011011011000011…
…100011011100011000
32211000001212020000000
4123123003203130120
5440300401230223
621305443213000
72061446623464
oct333303433430
984001766000
1029444945688
111153a9a4564
125859077160
132a133a51b2
1415d48414a4
15b75038543
hex6db0e3718

29444945688 has 128 divisors (see below), whose sum is σ = 83078136000. Its totient is φ = 9782176896.

The previous prime is 29444945683. The next prime is 29444945701. The reversal of 29444945688 is 88654944492.

29444945688 is a `hidden beast` number, since 2 + 94 + 4 + 494 + 56 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29444945683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5543578 + ... + 5548886.

Almost surely, 229444945688 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 29444945688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41539068000).

29444945688 is an abundant number, since it is smaller than the sum of its proper divisors (53633190312).

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

29444945688 is an equidigital number, since it uses as much as digits as its factorization.

29444945688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653 (or 5631 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 29444945688 in words is "twenty-nine billion, four hundred forty-four million, nine hundred forty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 317 324 486 634 648 729 951 972 1268 1458 1902 1944 2187 2536 2853 2916 3804 4374 5309 5706 5832 7608 8559 8748 10618 11412 15927 17118 17496 21236 22824 25677 31854 34236 42472 47781 51354 63708 68472 77031 95562 102708 127416 143343 154062 191124 205416 231093 286686 308124 382248 430029 462186 573372 616248 693279 860058 924372 1146744 1290087 1386558 1682953 1720116 1848744 2580174 2773116 3365906 3440232 3870261 5048859 5160348 5546232 6731812 7740522 10097718 10320696 11610783 13463624 15146577 15481044 20195436 23221566 30293154 30962088 40390872 45439731 46443132 60586308 90879462 92886264 121172616 136319193 181758924 272638386 363517848 408957579 545276772 817915158 1090553544 1226872737 1635830316 2453745474 3271660632 3680618211 4907490948 7361236422 9814981896 14722472844 29444945688