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30897272448 = 27347312443
BaseRepresentation
bin11100110001100111…
…101111011010000000
32221202021200001210000
4130301213233122000
51001234200204243
622105523440000
72142443324340
oct346147573200
987667601700
1030897272448
1112115783109
125ba3526000
132bb5245143
1416d1694d20
15c0c7b75d3
hex7319ef680

30897272448 has 480 divisors, whose sum is σ = 108829781280. Its totient is φ = 8523740160.

The previous prime is 30897272447. The next prime is 30897272509. The reversal of 30897272448 is 84427279803.

It is a happy number.

30897272448 is a `hidden beast` number, since 308 + 97 + 2 + 7 + 244 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30897272394 and 30897272403.

It is not an unprimeable number, because it can be changed into a prime (30897272447) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69745315 + ... + 69745757.

It is an arithmetic number, because the mean of its divisors is an integer number (226728711).

Almost surely, 230897272448 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 30897272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54414890640).

30897272448 is an abundant number, since it is smaller than the sum of its proper divisors (77932508832).

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

30897272448 is an equidigital number, since it uses as much as digits as its factorization.

30897272448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 30897272448 in words is "thirty billion, eight hundred ninety-seven million, two hundred seventy-two thousand, four hundred forty-eight".