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30067881448 = 23112714011091
BaseRepresentation
bin11100000000001011…
…110111010111101000
32212121111000122012211
4130000023313113220
5443034334201243
621451335014504
72113052526643
oct340013672750
985544018184
1030067881448
111182a598400
1259b180a434
132ab2471537
141653478a5a
15baea86d9d
hex7002f75e8

30067881448 has 96 divisors (see below), whose sum is σ = 63055661760. Its totient is φ = 13428800000.

The previous prime is 30067881443. The next prime is 30067881449. The reversal of 30067881448 is 84418876003.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30067881443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27559383 + ... + 27560473.

It is an arithmetic number, because the mean of its divisors is an integer number (656829810).

Almost surely, 230067881448 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 30067881448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31527830880).

30067881448 is an abundant number, since it is smaller than the sum of its proper divisors (32987780312).

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

30067881448 is a wasteful number, since it uses less digits than its factorization.

30067881448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 30067881448 in words is "thirty billion, sixty-seven million, eight hundred eighty-one thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 71 88 121 142 242 284 401 484 568 781 802 968 1091 1562 1604 2182 3124 3208 4364 4411 6248 8591 8728 8822 12001 17182 17644 24002 28471 34364 35288 48004 48521 56942 68728 77461 96008 97042 113884 132011 154922 194084 227768 264022 309844 313181 388168 437491 528044 619688 626362 852071 874982 1056088 1252724 1704142 1749964 2505448 3408284 3444991 3499928 4812401 6816568 6889982 9372781 9624802 13779964 18745562 19249604 27559928 31061861 37491124 38499208 52936411 62123722 74982248 105872822 124247444 211745644 248494888 341680471 423491288 683360942 1366721884 2733443768 3758485181 7516970362 15033940724 30067881448