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29691425344 = 26721721812
BaseRepresentation
bin11011101001101111…
…110011001001000000
32211122020122200112011
4123221233303021000
5441302001102334
621350130142304
72100531644200
oct335157631100
984566580464
1029691425344
1111657043359
125907721994
132a52484449
141619482400
15b8b9c4564
hex6e9bf3240

29691425344 has 189 divisors, whose sum is σ = 73211633739. Its totient is φ = 11910205440.

The previous prime is 29691425329. The next prime is 29691425347. The reversal of 29691425344 is 44352419692.

The square root of 29691425344 is 172312.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4183502400 + 25507922944 = 64680^2 + 159712^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29691425347) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 164040934 + ... + 164041114.

Almost surely, 229691425344 is an apocalyptic number.

29691425344 is the 172312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29691425344

29691425344 is an abundant number, since it is smaller than the sum of its proper divisors (43520208395).

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

29691425344 is an equidigital number, since it uses as much as digits as its factorization.

29691425344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 207 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 49.

Multiplying 29691425344 by its sum of digits (49), we get a square (1454879841856 = 12061842).

29691425344 divided by its sum of digits (49) gives a square (605947456 = 246162).

The spelling of 29691425344 in words is "twenty-nine billion, six hundred ninety-one million, four hundred twenty-five thousand, three hundred forty-four".