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29031430818 = 231310915432213
BaseRepresentation
bin11011000010011010…
…000111101010100010
32202221020202111020110
4123002122013222202
5433424021241233
621200432152150
72045266042665
oct330232075242
982836674213
1029031430818
1111348538735
125762698656
132978811240
14159595d6dc
15b4daa5663
hex6c2687aa2

29031430818 has 64 divisors (see below), whose sum is σ = 63172327680. Its totient is φ = 8841063168.

The previous prime is 29031430811. The next prime is 29031430843. The reversal of 29031430818 is 81803413092.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (29031430811) 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, 13117480 + ... + 13119692.

It is an arithmetic number, because the mean of its divisors is an integer number (987067620).

Almost surely, 229031430818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29031430818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31586163840).

29031430818 is an abundant number, since it is smaller than the sum of its proper divisors (34140896862).

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

29031430818 is a wasteful number, since it uses less digits than its factorization.

29031430818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883.

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 29031430818 in words is "twenty-nine billion, thirty-one million, four hundred thirty thousand, eight hundred eighteen".

Divisors: 1 2 3 6 13 26 39 78 109 218 327 654 1417 1543 2213 2834 3086 4251 4426 4629 6639 8502 9258 13278 20059 28769 40118 57538 60177 86307 120354 168187 172614 241217 336374 482434 504561 723651 1009122 1447302 2186431 3135821 3414659 4372862 6271642 6559293 6829318 9407463 10243977 13118586 18814926 20487954 44390567 88781134 133171701 266343402 372197831 744395662 1116593493 2233186986 4838571803 9677143606 14515715409 29031430818