Search a number
-
+
29007739926 = 23411192931953
BaseRepresentation
bin11011000000111111…
…101111110000010110
32202212121011212110000
4123000333233300112
5433401440134201
621154224312130
72044560502224
oct330077576026
982777155400
1029007739926
1111336127390
125756772646
132973937b69
141592753b14
15b4b975d86
hex6c0fefc16

29007739926 has 320 divisors, whose sum is σ = 79787980800. Its totient is φ = 7772889600.

The previous prime is 29007739913. The next prime is 29007739951. The reversal of 29007739926 is 62993770092.

It is a super-2 number, since 2×290077399262 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30437866 + ... + 30438818.

It is an arithmetic number, because the mean of its divisors is an integer number (249337440).

Almost surely, 229007739926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29007739926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39893990400).

29007739926 is an abundant number, since it is smaller than the sum of its proper divisors (50780240874).

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

29007739926 is a wasteful number, since it uses less digits than its factorization.

29007739926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 29007739926 in words is "twenty-nine billion, seven million, seven hundred thirty-nine thousand, nine hundred twenty-six".