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29386280704 = 281124392161
BaseRepresentation
bin11011010111100011…
…110000111100000000
32210211222110201202211
4123113203300330000
5440140341440304
621255545551504
72060135156524
oct332743607400
983758421684
1029386280704
111150a875700
1258414a5594
132a041a4aa1
1415cab2dd84
15b6eceb204
hex6d78f0f00

29386280704 has 108 divisors (see below), whose sum is σ = 64651842640. Its totient is φ = 13320806400.

The previous prime is 29386280683. The next prime is 29386280719. The reversal of 29386280704 is 40708268392.

It is a super-2 number, since 2×293862807042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13597384 + ... + 13599544.

Almost surely, 229386280704 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 29386280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32325921320).

29386280704 is an abundant number, since it is smaller than the sum of its proper divisors (35265561936).

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

29386280704 is a wasteful number, since it uses less digits than its factorization.

29386280704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 29386280704 in words is "twenty-nine billion, three hundred eighty-six million, two hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 439 484 704 878 968 1408 1756 1936 2161 2816 3512 3872 4322 4829 7024 7744 8644 9658 14048 15488 17288 19316 23771 28096 30976 34576 38632 47542 53119 56192 69152 77264 95084 106238 112384 138304 154528 190168 212476 261481 276608 309056 380336 424952 522962 553216 618112 760672 849904 948679 1045924 1236224 1521344 1699808 1897358 2091848 3042688 3399616 3794716 4183696 6085376 6799232 7589432 8367392 10435469 13598464 15178864 16734784 20870938 30357728 33469568 41741876 60715456 66939136 83483752 114790159 121430912 166967504 229580318 242861824 333935008 459160636 667870016 918321272 1335740032 1836642544 2671480064 3673285088 7346570176 14693140352 29386280704