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29391016122 = 23213253182297
BaseRepresentation
bin11011010111110101…
…110101000010111010
32210212022101022112200
4123113311311002322
5440143100003442
621300235251030
72060223341436
oct332765650272
983768338480
1029391016122
111151250a476
125842ba9a76
132a05172300
1415cb6039c6
15b7043434c
hex6d7d750ba

29391016122 has 72 divisors (see below), whose sum is σ = 70257284604. Its totient is φ = 8872710912.

The previous prime is 29391016103. The next prime is 29391016169. The reversal of 29391016122 is 22161019392.

29391016122 is a `hidden beast` number, since 2 + 9 + 39 + 1 + 0 + 1 + 612 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6195421521 + 23195594601 = 78711^2 + 152301^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70078 + ... + 252374.

Almost surely, 229391016122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29391016122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35128642302).

29391016122 is an abundant number, since it is smaller than the sum of its proper divisors (40866268482).

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

29391016122 is a wasteful number, since it uses less digits than its factorization.

29391016122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182384 (or 182368 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 29391016122 in words is "twenty-nine billion, three hundred ninety-one million, sixteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 169 234 318 338 477 507 689 954 1014 1378 1521 2067 3042 4134 6201 8957 12402 17914 26871 53742 80613 161226 182297 364594 546891 1093782 1640673 2369861 3281346 4739722 7109583 9661741 14219166 19323482 21328749 28985223 30808193 42657498 57970446 61616386 86955669 92424579 125602633 173911338 184849158 251205266 277273737 376807899 554547474 753615798 1130423697 1632834229 2260847394 3265668458 4898502687 9797005374 14695508061 29391016122