Search a number
-
+
29978925072 = 2434395315241
BaseRepresentation
bin11011111010111000…
…100001100000010000
32212101021122012000020
4123322320201200100
5442344101100242
621434440223440
72110622441625
oct337270414020
985337565006
1029978925072
111179435a138
125987a6ab80
132a99bc6625
14164572034c
15ba6d646ec
hex6fae21810

29978925072 has 80 divisors (see below), whose sum is σ = 79334975808. Its totient is φ = 9749698560.

The previous prime is 29978925071. The next prime is 29978925133. The reversal of 29978925072 is 27052987992.

It is a junction number, because it is equal to n+sod(n) for n = 29978924997 and 29978925015.

It is not an unprimeable number, because it can be changed into a prime (29978925071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959372 + ... + 1974612.

Almost surely, 229978925072 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 29978925072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39667487904).

29978925072 is an abundant number, since it is smaller than the sum of its proper divisors (49356050736).

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

29978925072 is a wasteful number, since it uses less digits than its factorization.

29978925072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16248 (or 16242 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 29978925072 in words is "twenty-nine billion, nine hundred seventy-eight million, nine hundred twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 953 1032 1906 2064 2859 3812 5718 7624 11436 15241 15248 22872 30482 40979 45723 45744 60964 81958 91446 121928 122937 163916 182892 243856 245874 327832 365784 491748 655363 655664 731568 983496 1310726 1966089 1966992 2621452 3932178 5242904 7864356 10485808 14524673 15728712 29049346 31457424 43574019 58098692 87148038 116197384 174296076 232394768 348592152 624560939 697184304 1249121878 1873682817 2498243756 3747365634 4996487512 7494731268 9992975024 14989462536 29978925072