29430284382051 has 32 divisors (see below), whose sum is σ = 45697736770560. Its totient is φ = 16498034926464.

The previous prime is 29430284382049. The next prime is 29430284382073. The reversal of 29430284382051 is 15028348203492.

It is not a de Polignac number, because 29430284382051 - 2¹ = 29430284382049 is a prime.

It is a super-2 number, since 2×29430284382051² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29430284381985 and 29430284382003.

It is not an unprimeable number, because it can be changed into a prime (29430284382451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7812946 + ... + 10950008.

It is an arithmetic number, because the mean of its divisors is an integer number (1428054274080).

Almost surely, 2^{29430284382051} is an apocalyptic number.

29430284382051 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

29430284382051 is a deficient number, since it is larger than the sum of its proper divisors (16267452388509).

29430284382051 is a wasteful number, since it uses less digits than its factorization.

29430284382051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145555.

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 29430284382051 in words is "twenty-nine trillion, four hundred thirty billion, two hundred eighty-four million, three hundred eighty-two thousand, fifty-one".