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30077869536 = 25331113317853
BaseRepresentation
bin11100000000110001…
…111101110111100000
32212122011211002022000
4130000301331313200
5443044413311121
621452333044000
72113233446511
oct340061756740
985564732260
1030077869536
111183519a620
1259b5026600
132ab455a850
141654918a08
15bb08ab526
hex700c7dde0

30077869536 has 384 divisors, whose sum is σ = 106402222080. Its totient is φ = 8140953600.

The previous prime is 30077869519. The next prime is 30077869561. The reversal of 30077869536 is 63596877003.

30077869536 is a `hidden beast` number, since 30 + 0 + 7 + 78 + 6 + 9 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3826186 + ... + 3834038.

It is an arithmetic number, because the mean of its divisors is an integer number (277089120).

Almost surely, 230077869536 is an apocalyptic number.

30077869536 is a gapful number since it is divisible by the number (36) 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 30077869536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53201111040).

30077869536 is an abundant number, since it is smaller than the sum of its proper divisors (76324352544).

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

30077869536 is a wasteful number, since it uses less digits than its factorization.

30077869536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7913 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 30077869536 in words is "thirty billion, seventy-seven million, eight hundred sixty-nine thousand, five hundred thirty-six".