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30051260928 = 293313219677
BaseRepresentation
bin11011111111001100…
…011101101000000000
32212120022202020011000
4123333030131220000
5443021110322203
621445542452000
72112461334423
oct337714355000
985508666130
1030051260928
1111821176137
1259a8134000
132aabba2400
14165118d9ba
15bad3a24a3
hex6ff31da00

30051260928 has 480 divisors, whose sum is σ = 101542161600. Its totient is φ = 8746942464.

The previous prime is 30051260887. The next prime is 30051260929. The reversal of 30051260928 is 82906215003.

30051260928 is a `hidden beast` number, since 30 + 0 + 5 + 12 + 609 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30051260892 and 30051260901.

It is not an unprimeable number, because it can be changed into a prime (30051260929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44388526 + ... + 44389202.

It is an arithmetic number, because the mean of its divisors is an integer number (211546170).

Almost surely, 230051260928 is an apocalyptic number.

30051260928 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 30051260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50771080800).

30051260928 is an abundant number, since it is smaller than the sum of its proper divisors (71490900672).

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

30051260928 is a wasteful number, since it uses less digits than its factorization.

30051260928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 30051260928 in words is "thirty billion, fifty-one million, two hundred sixty thousand, nine hundred twenty-eight".