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30846218000 = 2453132263347
BaseRepresentation
bin11100101110100100…
…111110111100010000
32221121201121020020112
4130232210332330100
51001133112434000
622100501300452
72141253345503
oct345644767420
987551536215
1030846218000
1112099982154
125b8a404728
132ba77aab00
1416c89a513a
15c08080235
hex72e93ef10

30846218000 has 240 divisors, whose sum is σ = 81305617536. Its totient is φ = 11313369600.

The previous prime is 30846217993. The next prime is 30846218009. The reversal of 30846218000 is 81264803.

It is not an unprimeable number, because it can be changed into a prime (30846218009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88893827 + ... + 88894173.

Almost surely, 230846218000 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 30846218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40652808768).

30846218000 is an abundant number, since it is smaller than the sum of its proper divisors (50459399536).

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

30846218000 is a wasteful number, since it uses less digits than its factorization.

30846218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 30846218000 in words is "thirty billion, eight hundred forty-six million, two hundred eighteen thousand".