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30668456676 = 2231113137191683
BaseRepresentation
bin11100100011111110…
…111000001011100100
32221011100010000112210
4130203332320023210
51000302111103201
622031111243420
72133664403064
oct344376701344
987140100483
1030668456676
11120085a9470
125b3a979570
132b79a0bbb0
1416ad1313a4
15be766a1d6
hex723fb82e4

30668456676 has 192 divisors, whose sum is σ = 85251833856. Its totient is φ = 8458982400.

The previous prime is 30668456669. The next prime is 30668456717. The reversal of 30668456676 is 67665486603.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 44902231 + ... + 44902913.

It is an arithmetic number, because the mean of its divisors is an integer number (444019968).

Almost surely, 230668456676 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 30668456676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42625916928).

30668456676 is an abundant number, since it is smaller than the sum of its proper divisors (54583377180).

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

30668456676 is a wasteful number, since it uses less digits than its factorization.

30668456676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 30668456676 in words is "thirty billion, six hundred sixty-eight million, four hundred fifty-six thousand, six hundred seventy-six".