Search a number
-
+
29693010816 = 273274189809
BaseRepresentation
bin11011101001110101…
…110110001110000000
32211122100122020101100
4123221311312032000
5441302402321231
621350224134400
72100551266440
oct335165661600
984570566340
1029693010816
1111657a26567
125908167400
132a528bacb1
141619776120
15b8bbd91e6
hex6e9d76380

29693010816 has 192 divisors, whose sum is σ = 100033970400. Its totient is φ = 8276705280.

The previous prime is 29693010803. The next prime is 29693010827. The reversal of 29693010816 is 61801039692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285720 + ... + 375528.

Almost surely, 229693010816 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 29693010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50016985200).

29693010816 is an abundant number, since it is smaller than the sum of its proper divisors (70340959584).

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

29693010816 is a wasteful number, since it uses less digits than its factorization.

29693010816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89877 (or 89862 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 29693010816 in words is "twenty-nine billion, six hundred ninety-three million, ten thousand, eight hundred sixteen".