Search a number
-
+
29059091712 = 28337417103
BaseRepresentation
bin11011000100000011…
…101000110100000000
32210000011210210212000
4123010003220310000
5434003111413322
621203301104000
72046053130000
oct330403506400
983004723760
1029059091712
1111362110782
12576b9b8000
132981477631
1415994c0000
15b5121b3ac
hex6c40e8d00

29059091712 has 720 divisors, whose sum is σ = 107176567680. Its totient is φ = 7738343424.

The previous prime is 29059091693. The next prime is 29059091717. The reversal of 29059091712 is 21719095092.

It is a super-2 number, since 2×290590917122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29059091717) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282127053 + ... + 282127155.

It is an arithmetic number, because the mean of its divisors is an integer number (148856344).

Almost surely, 229059091712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29059091712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53588283840).

29059091712 is an abundant number, since it is smaller than the sum of its proper divisors (78117475968).

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

29059091712 is an equidigital number, since it uses as much as digits as its factorization.

29059091712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 29059091712 in words is "twenty-nine billion, fifty-nine million, ninety-one thousand, seven hundred twelve".