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30033248800 = 255274350527
BaseRepresentation
bin11011111110000111…
…110000001000100000
32212112001212010011011
4123332013300020200
5443002002430200
621444100430304
72112152255062
oct337607601040
985461763134
1030033248800
1111811a93385
1259a20a8394
132aa8236a49
14164ca21732
15bab9e55ba
hex6fe1f0220

30033248800 has 72 divisors (see below), whose sum is σ = 73418800896. Its totient is φ = 11996893440.

The previous prime is 30033248753. The next prime is 30033248803. The reversal of 30033248800 is 884233003.

It is not an unprimeable number, because it can be changed into a prime (30033248803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569137 + ... + 619663.

It is an arithmetic number, because the mean of its divisors is an integer number (1019705568).

Almost surely, 230033248800 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 30033248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36709400448).

30033248800 is an abundant number, since it is smaller than the sum of its proper divisors (43385552096).

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

30033248800 is a wasteful number, since it uses less digits than its factorization.

30033248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51290 (or 51277 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 30033248800 in words is "thirty billion, thirty-three million, two hundred forty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 743 800 1486 2972 3715 5944 7430 11888 14860 18575 23776 29720 37150 50527 59440 74300 101054 118880 148600 202108 252635 297200 404216 505270 594400 808432 1010540 1263175 1616864 2021080 2526350 4042160 5052700 8084320 10105400 20210800 37541561 40421600 75083122 150166244 187707805 300332488 375415610 600664976 750831220 938539025 1201329952 1501662440 1877078050 3003324880 3754156100 6006649760 7508312200 15016624400 30033248800