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29133067986 = 2341136734451
BaseRepresentation
bin11011001000011101…
…110101011011010010
32210012100000012020000
4123020131311123102
5434131031133421
621214502430430
72050641664161
oct331035653322
983170005200
1029133067986
111139a9481a0
125790732416
1329938a8c89
1415a52593d8
15b57980226
hex6c87756d2

29133067986 has 80 divisors (see below), whose sum is σ = 71249558688. Its totient is φ = 8823816000.

The previous prime is 29133067981. The next prime is 29133068021. The reversal of 29133067986 is 68976033192.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (29133067981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6543061 + ... + 6547511.

Almost surely, 229133067986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29133067986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35624779344).

29133067986 is an abundant number, since it is smaller than the sum of its proper divisors (42116490702).

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

29133067986 is a wasteful number, since it uses less digits than its factorization.

29133067986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

It can be divided in two parts, 2913306 and 7986, that added together give a palindrome (2921292).

The spelling of 29133067986 in words is "twenty-nine billion, one hundred thirty-three million, sixty-seven thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 3673 4451 7346 8902 11019 13353 22038 26706 33057 40059 40403 48961 66114 80118 80806 97922 99171 120177 121209 146883 198342 240354 242418 293766 297513 360531 363627 440649 595026 721062 727254 881298 1090881 1321947 2181762 2643894 3272643 3965841 6545286 7931682 16348523 32697046 49045569 98091138 147136707 179833753 294273414 359667506 441410121 539501259 882820242 1079002518 1324230363 1618503777 2648460726 3237007554 4855511331 9711022662 14566533993 29133067986