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30198337216 = 264359185987
BaseRepresentation
bin11100000111111101…
…100000111011000000
32212221120111110212221
4130013331200323000
5443321233242331
621512315100424
72116225426315
oct340775407300
985846443787
1030198337216
11118971a0793
125a29441714
132b034b95b8
141666916d0c
15bbb255711
hex707f60ec0

30198337216 has 56 divisors (see below), whose sum is σ = 62358056640. Its totient is φ = 14497980672.

The previous prime is 30198337199. The next prime is 30198337223. The reversal of 30198337216 is 61273389103.

It is a happy number.

It is a super-2 number, since 2×301983372162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69375 + ... + 255361.

Almost surely, 230198337216 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 30198337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31179028320).

30198337216 is an abundant number, since it is smaller than the sum of its proper divisors (32159719424).

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

30198337216 is a wasteful number, since it uses less digits than its factorization.

30198337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186101 (or 186091 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 30198337216 in words is "thirty billion, one hundred ninety-eight million, three hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 43 59 64 86 118 172 236 344 472 688 944 1376 1888 2537 2752 3776 5074 10148 20296 40592 81184 162368 185987 371974 743948 1487896 2975792 5951584 7997441 10973233 11903168 15994882 21946466 31989764 43892932 63979528 87785864 127959056 175571728 255918112 351143456 471849019 511836224 702286912 943698038 1887396076 3774792152 7549584304 15099168608 30198337216