Search a number
-
+
29060626056 = 233711591931381
BaseRepresentation
bin11011000100001001…
…011111011010001000
32210000021200202120120
4123010021133122020
5434004010013211
621203354023240
72046102150210
oct330411373210
983007622516
1029060626056
1111362a69530
125770417b20
132981893b27
14159979d240
15b51420d06
hex6c425f688

29060626056 has 256 divisors, whose sum is σ = 92658124800. Its totient is φ = 7376486400.

The previous prime is 29060626009. The next prime is 29060626057. The reversal of 29060626056 is 65062606092.

It is a super-2 number, since 2×290606260562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29060625999 and 29060626017.

It is not an unprimeable number, because it can be changed into a prime (29060626057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21042486 + ... + 21043866.

It is an arithmetic number, because the mean of its divisors is an integer number (361945800).

Almost surely, 229060626056 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 29060626056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46329062400).

29060626056 is an abundant number, since it is smaller than the sum of its proper divisors (63597498744).

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

29060626056 is a wasteful number, since it uses less digits than its factorization.

29060626056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 29060626056 in words is "twenty-nine billion, sixty million, six hundred twenty-six thousand, fifty-six".