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29123703040 = 28555740849
BaseRepresentation
bin11011000111111010…
…000111000100000000
32210011200101101221011
4123013322013010000
5434121131444130
621213530010304
72050466251135
oct330772070400
983150341834
1029123703040
1111395631173
125789576994
13299197a4a3
1415a3cdc58c
15b56c3052a
hex6c7e87100

29123703040 has 72 divisors (see below), whose sum is σ = 69887323800. Its totient is φ = 11628281856.

The previous prime is 29123703031. The next prime is 29123703041. The reversal of 29123703040 is 4030732192.

It can be written as a sum of positive squares in 4 ways, for example, as 840536064 + 28283166976 = 28992^2 + 168176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29123702993 and 29123703011.

It is not an unprimeable number, because it can be changed into a prime (29123703041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692536 + ... + 733384.

It is an arithmetic number, because the mean of its divisors is an integer number (970657275).

Almost surely, 229123703040 is an apocalyptic number.

29123703040 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 29123703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34943661900).

29123703040 is an abundant number, since it is smaller than the sum of its proper divisors (40763620760).

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

29123703040 is an equidigital number, since it uses as much as digits as its factorization.

29123703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41427 (or 41413 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 29123703040 in words is "twenty-nine billion, one hundred twenty-three million, seven hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 557 640 1114 1280 2228 2785 4456 5570 8912 11140 17824 22280 35648 40849 44560 71296 81698 89120 142592 163396 178240 204245 326792 356480 408490 653584 712960 816980 1307168 1633960 2614336 3267920 5228672 6535840 10457344 13071680 22752893 26143360 45505786 52286720 91011572 113764465 182023144 227528930 364046288 455057860 728092576 910115720 1456185152 1820231440 2912370304 3640462880 5824740608 7280925760 14561851520 29123703040