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29703833104 = 2411239172
BaseRepresentation
bin11011101010011111…
…001000011000010000
32211200010000001202211
4123222133020120100
5441313140124404
621351252121504
72101042262341
oct335237103020
984603001684
1029703833104
1111663048500
12590b906294
132a54c09c0a
14161ad920c8
15b8cb25b04
hex6ea7c8610

29703833104 has 45 divisors (see below), whose sum is σ = 63274885261. Its totient is φ = 13498295360.

The previous prime is 29703833101. The next prime is 29703833113. The reversal of 29703833104 is 40133830792.

The square root of 29703833104 is 172348.

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

It can be written as a sum of positive squares in only one way, i.e., 24056010000 + 5647823104 = 155100^2 + 75152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29703833101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7581354 + ... + 7585270.

Almost surely, 229703833104 is an apocalyptic number.

29703833104 is the 172348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29703833104

29703833104 is an abundant number, since it is smaller than the sum of its proper divisors (33571052157).

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

29703833104 is an frugal number, since it uses more digits than its factorization.

29703833104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 29703833104 in words is "twenty-nine billion, seven hundred three million, eight hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 3917 7834 15668 31336 43087 62672 86174 172348 344696 473957 689392 947914 1895828 3791656 7583312 15342889 30685778 61371556 122743112 168771779 245486224 337543558 675087116 1350174232 1856489569 2700348464 3712979138 7425958276 14851916552 29703833104