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29104761378 = 237211374377
BaseRepresentation
bin11011000110110001…
…110110101000100010
32210010100202001212010
4123012301312220202
5434101304331003
621212012013350
72050146250500
oct330661665042
983110661763
1029104761378
1111385974000
125783161256
13298aa779c4
1415a15ab670
15b5523d003
hex6c6c76a22

29104761378 has 96 divisors (see below), whose sum is σ = 74480344128. Its totient is φ = 7559576640.

The previous prime is 29104761359. The next prime is 29104761383. The reversal of 29104761378 is 87316740192.

It is a happy number.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 354126 + ... + 428502.

It is an arithmetic number, because the mean of its divisors is an integer number (775836918).

Almost surely, 229104761378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29104761378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37240172064).

29104761378 is an abundant number, since it is smaller than the sum of its proper divisors (45375582750).

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

29104761378 is a wasteful number, since it uses less digits than its factorization.

29104761378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74429 (or 74400 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 29104761378 in words is "twenty-nine billion, one hundred four million, seven hundred sixty-one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 1078 1331 1617 1694 2541 2662 3234 3993 5082 5929 7986 9317 11858 17787 18634 27951 35574 55902 65219 74377 130438 148754 195657 223131 391314 446262 520639 818147 1041278 1561917 1636294 2454441 3123834 3644473 4908882 5727029 7288946 8999617 10933419 11454058 17181087 17999234 21866838 26998851 34362174 40089203 53997702 62997319 80178406 98995787 120267609 125994638 188991957 197991574 240535218 296987361 377983914 440981233 593974722 692970509 881962466 1322943699 1385941018 2078911527 2645887398 4157823054 4850793563 9701587126 14552380689 29104761378