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29300344880 = 2452915598101
BaseRepresentation
bin11011010010011011…
…111100100000110000
32210121222202201222112
4123102123330200300
5440001342014010
621243240024452
72055042552002
oct332233744060
983558681875
1029300344880
111147630a864
125818762128
1329bc4469a1
1415bd560372
15b674c3a05
hex6d26fc830

29300344880 has 80 divisors (see below), whose sum is σ = 70526289600. Its totient is φ = 11307340800.

The previous prime is 29300344873. The next prime is 29300344933. The reversal of 29300344880 is 8844300392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3612830 + ... + 3620930.

It is an arithmetic number, because the mean of its divisors is an integer number (881578620).

Almost surely, 229300344880 is an apocalyptic number.

29300344880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29300344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35263144800).

29300344880 is an abundant number, since it is smaller than the sum of its proper divisors (41225944720).

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

29300344880 is a wasteful number, since it uses less digits than its factorization.

29300344880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 29300344880 in words is "twenty-nine billion, three hundred million, three hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1559 2320 3118 6236 7795 8101 12472 15590 16202 24944 31180 32404 40505 45211 62360 64808 81010 90422 124720 129616 162020 180844 226055 234929 324040 361688 452110 469858 648080 723376 904220 939716 1174645 1808440 1879432 2349290 3616880 3758864 4698580 9397160 12629459 18794320 25258918 50517836 63147295 101035672 126294590 202071344 252589180 366254311 505178360 732508622 1010356720 1465017244 1831271555 2930034488 3662543110 5860068976 7325086220 14650172440 29300344880