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29241856340 = 2253085347389
BaseRepresentation
bin11011001110111100…
…110101000101010100
32210110220201012210022
4123032330311011110
5434341403400330
621233350244312
72053432451324
oct331674650524
983426635708
1029241856340
11114462a1524
125801056698
1329b02a8998
1415b5897284
15b622bdae5
hex6cef35154

29241856340 has 24 divisors (see below), whose sum is σ = 61411184520. Its totient is φ = 11696116608.

The previous prime is 29241856331. The next prime is 29241856363. The reversal of 29241856340 is 4365814292.

It can be written as a sum of positive squares in 4 ways, for example, as 1430957584 + 27810898756 = 37828^2 + 166766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29241856291 and 29241856300.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 593366 + ... + 640754.

It is an arithmetic number, because the mean of its divisors is an integer number (2558799355).

Almost surely, 229241856340 is an apocalyptic number.

29241856340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29241856340 is an abundant number, since it is smaller than the sum of its proper divisors (32169328180).

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

29241856340 is a wasteful number, since it uses less digits than its factorization.

29241856340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78251 (or 78249 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 29241856340 in words is "twenty-nine billion, two hundred forty-one million, eight hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 30853 47389 61706 94778 123412 154265 189556 236945 308530 473890 617060 947780 1462092817 2924185634 5848371268 7310464085 14620928170 29241856340