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29084232681 = 347227072
BaseRepresentation
bin11011000101100011…
…100010101111101001
32210001221010002210000
4123011203202233221
5434031030421211
621210000013213
72046506620200
oct330543425751
983057102700
1029084232681
1111375322539
125778301209
13298673aa4a
14159c986237
15b53535656
hex6c58e2be9

29084232681 has 45 divisors (see below), whose sum is σ = 50558851629. Its totient is φ = 16613422056.

The previous prime is 29084232641. The next prime is 29084232719. The reversal of 29084232681 is 18623248092.

The square root of 29084232681 is 170541.

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

29084232681 is a `hidden beast` number, since 290 + 84 + 23 + 268 + 1 = 666.

It is not a de Polignac number, because 29084232681 - 211 = 29084230633 is a prime.

It is a super-2 number, since 2×290842326812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29084232601) 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 44 ways as a sum of consecutive naturals, for example, 10742730 + ... + 10745436.

Almost surely, 229084232681 is an apocalyptic number.

29084232681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

29084232681 is the 170541-st square number.

29084232681 is the 85271-st centered octagonal number.

It is an amenable number.

29084232681 is a deficient number, since it is larger than the sum of its proper divisors (21474618948).

29084232681 is an frugal number, since it uses more digits than its factorization.

29084232681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 29084232681 in words is "twenty-nine billion, eighty-four million, two hundred thirty-two thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 2707 3969 8121 18949 24363 56847 73089 132643 170541 219267 397929 511623 1193787 1534869 3581361 7327849 10744083 21983547 51294943 65950641 153884829 197851923 359064601 461654487 593555769 1077193803 1384963461 3231581409 4154890383 9694744227 29084232681