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29716685168 = 24172512811549
BaseRepresentation
bin11011101011010000…
…001010000101110000
32211201000012000111012
4123223100022011300
5441324432411133
621352431410052
72101256441042
oct335320120560
984630160435
1029716685168
111166a326445
125914083928
132a577899a1
14161c979a92
15b8dd13b48
hex6eb40a170

29716685168 has 80 divisors (see below), whose sum is σ = 61463253600. Its totient is φ = 13870080000.

The previous prime is 29716685129. The next prime is 29716685183. The reversal of 29716685168 is 86158661792.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19183658 + ... + 19185206.

It is an arithmetic number, because the mean of its divisors is an integer number (768290670).

Almost surely, 229716685168 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 29716685168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30731626800).

29716685168 is an abundant number, since it is smaller than the sum of its proper divisors (31746568432).

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

29716685168 is a wasteful number, since it uses less digits than its factorization.

29716685168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2100 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 59.

The spelling of 29716685168 in words is "twenty-nine billion, seven hundred sixteen million, six hundred eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 251 272 281 502 562 1004 1124 1549 2008 2248 3098 4016 4267 4496 4777 6196 8534 9554 12392 17068 19108 24784 26333 34136 38216 52666 68272 70531 76432 105332 141062 210664 282124 388799 421328 435269 564248 777598 870538 1128496 1199027 1555196 1741076 2398054 3110392 3482152 4796108 6220784 6609583 6964304 7399573 9592216 13219166 14799146 19184432 26438332 29598292 52876664 59196584 105753328 109252519 118393168 218505038 437010076 874020152 1748040304 1857292823 3714585646 7429171292 14858342584 29716685168