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30633284136 = 233721331109593
BaseRepresentation
bin11100100001111000…
…101101001000101000
32221001212221001220010
4130201320231020220
51000214110043021
622023413331520
72133056422200
oct344170551050
987055831803
1030633284136
1111a9a765854
125b2b036ba0
132b72645740
1416a85b7400
15be451d976
hex721e2d228

30633284136 has 384 divisors, whose sum is σ = 100111334400. Its totient is φ = 7733698560.

The previous prime is 30633284093. The next prime is 30633284177. The reversal of 30633284136 is 63148233603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 30633284094 and 30633284103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51657856 + ... + 51658448.

It is an arithmetic number, because the mean of its divisors is an integer number (260706600).

Almost surely, 230633284136 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 30633284136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50055667200).

30633284136 is an abundant number, since it is smaller than the sum of its proper divisors (69478050264).

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

30633284136 is a wasteful number, since it uses less digits than its factorization.

30633284136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 30633284136 in words is "thirty billion, six hundred thirty-three million, two hundred eighty-four thousand, one hundred thirty-six".