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30691928448 = 2732316173193
BaseRepresentation
bin11100100101011000…
…011010100110000000
32221012222021111202200
4130211120122212000
51000324113202243
622033310313200
72134401041646
oct344530324600
987188244680
1030691928448
111201a880125
125b467b8800
132b8183960c
1416b22c1196
15be9754ad3
hex72561a980

30691928448 has 384 divisors, whose sum is σ = 94418837760. Its totient is φ = 9555148800.

The previous prime is 30691928441. The next prime is 30691928459. The reversal of 30691928448 is 84482919603.

30691928448 is a `hidden beast` number, since 3 + 0 + 6 + 9 + 192 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30691928394 and 30691928403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30691928441) 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, 159025440 + ... + 159025632.

It is an arithmetic number, because the mean of its divisors is an integer number (245882390).

Almost surely, 230691928448 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 30691928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47209418880).

30691928448 is an abundant number, since it is smaller than the sum of its proper divisors (63726909312).

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

30691928448 is a wasteful number, since it uses less digits than its factorization.

30691928448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 30691928448 in words is "thirty billion, six hundred ninety-one million, nine hundred twenty-eight thousand, four hundred forty-eight".