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30605054688 = 25331319612351
BaseRepresentation
bin11100100000001101…
…000001001011100000
32220222220210212101000
4130200031001023200
51000134343222223
622020524312000
72132264446455
oct344015011340
986886725330
1030605054688
1111a8583462a
125b216a2600
132b69840620
1416a494982c
15be1ce4543
hex7203412e0

30605054688 has 384 divisors, whose sum is σ = 102893414400. Its totient is φ = 8771328000.

The previous prime is 30605054671. The next prime is 30605054693. The reversal of 30605054688 is 88645050603.

30605054688 is a `hidden beast` number, since 3 + 0 + 60 + 505 + 4 + 6 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13016713 + ... + 13019063.

It is an arithmetic number, because the mean of its divisors is an integer number (267951600).

Almost surely, 230605054688 is an apocalyptic number.

30605054688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30605054688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51446707200).

30605054688 is an abundant number, since it is smaller than the sum of its proper divisors (72288359712).

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

30605054688 is a wasteful number, since it uses less digits than its factorization.

30605054688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 30605054688 in words is "thirty billion, six hundred five million, fifty-four thousand, six hundred eighty-eight".