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30681655680 = 2735131279679
BaseRepresentation
bin11100100100110001…
…001110100110000000
32221012020221121011210
4130210301032212000
51000314000440210
622032302210120
72134214525124
oct344461164600
987166847153
1030681655680
1112014aa4035
125b43283940
132b7c680860
1416b0ba9584
15be88c5e20
hex724c4e980

30681655680 has 256 divisors, whose sum is σ = 106160947200. Its totient is φ = 7492165632.

The previous prime is 30681655661. The next prime is 30681655687. The reversal of 30681655680 is 8655618603.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30681655687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3165081 + ... + 3174759.

It is an arithmetic number, because the mean of its divisors is an integer number (414691200).

Almost surely, 230681655680 is an apocalyptic number.

30681655680 is a gapful number since it is divisible by the number (30) 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 30681655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53080473600).

30681655680 is an abundant number, since it is smaller than the sum of its proper divisors (75479291520).

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

30681655680 is a wasteful number, since it uses less digits than its factorization.

30681655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9841 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 30681655680 in words is "thirty billion, six hundred eighty-one million, six hundred fifty-five thousand, six hundred eighty".