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29885419876 = 221326121092
BaseRepresentation
bin11011110101010011…
…110101000101100100
32212010202200121222211
4123311103311011210
5442201131414001
621421300133204
72105405610004
oct336523650544
985122617884
1029885419876
11117465a4314
125960697204
132a83718100
141637140004
15b9da44351
hex6f54f5164

29885419876 has 81 divisors (see below), whose sum is σ = 58108661793. Its totient is φ = 13442682240.

The previous prime is 29885419873. The next prime is 29885419931. The reversal of 29885419876 is 67891458892.

The square root of 29885419876 is 172874.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 29884036900 + 1382976 = 172870^2 + 1176^2 .

It is not an unprimeable number, because it can be changed into a prime (29885419873) 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 26 ways as a sum of consecutive naturals, for example, 274178110 + ... + 274178218.

Almost surely, 229885419876 is an apocalyptic number.

29885419876 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

29885419876 is the 172874-th square number.

It is an amenable number.

29885419876 is a deficient number, since it is larger than the sum of its proper divisors (28223241917).

29885419876 is a wasteful number, since it uses less digits than its factorization.

29885419876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 67.

The spelling of 29885419876 in words is "twenty-nine billion, eight hundred eighty-five million, four hundred nineteen thousand, eight hundred seventy-six".

Divisors: 1 2 4 13 26 52 61 109 122 169 218 244 338 436 676 793 1417 1586 2834 3172 3721 5668 6649 7442 10309 11881 13298 14884 18421 20618 23762 26596 36842 41236 47524 48373 73684 86437 96746 154453 172874 193492 308906 345748 405589 617812 628849 724741 811178 1123681 1257698 1449482 1622356 2007889 2247362 2515396 2898964 4015778 4494724 5272657 8031556 9421633 10545314 18843266 21090628 37686532 44209201 68544541 88418402 122481229 137089082 176836804 244962458 274178164 489924916 574719613 1149439226 2298878452 7471354969 14942709938 29885419876