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30863314944 = 2123271183131
BaseRepresentation
bin11100101111100110…
…001101000000000000
32221122220202211211200
4130233212031000000
51001202002034234
622102311541200
72141551564020
oct345746150000
987586684750
1030863314944
11120a859a360
125b9408a800
132bab1b5a47
1416cad75a80
15c0980ad99
hex72f98d000

30863314944 has 624 divisors, whose sum is σ = 113345616384. Its totient is φ = 7859404800.

The previous prime is 30863314919. The next prime is 30863314991. The reversal of 30863314944 is 44941336803.

30863314944 is a `hidden beast` number, since 3 + 0 + 8 + 633 + 1 + 4 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30863314944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235597759 + ... + 235597889.

It is an arithmetic number, because the mean of its divisors is an integer number (181643616).

Almost surely, 230863314944 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 30863314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56672808192).

30863314944 is an abundant number, since it is smaller than the sum of its proper divisors (82482301440).

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

30863314944 is a wasteful number, since it uses less digits than its factorization.

30863314944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 30863314944 in words is "thirty billion, eight hundred sixty-three million, three hundred fourteen thousand, nine hundred forty-four".