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30002115528 = 23357211219137
BaseRepresentation
bin11011111100010000…
…111111001111001000
32212102220021101100000
4123330100333033020
5442421020144103
621441025243000
72111323526400
oct337420771710
985386241300
1030002115528
11117a6459500
125993793460
132aa1955ca8
141648839800
15ba8de5aa3
hex6fc43f3c8

30002115528 has 864 divisors, whose sum is σ = 114242637600. Its totient is φ = 7328724480.

The previous prime is 30002115461. The next prime is 30002115589. The reversal of 30002115528 is 82551120003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 218993476 + ... + 218993612.

It is an arithmetic number, because the mean of its divisors is an integer number (132225275).

Almost surely, 230002115528 is an apocalyptic number.

30002115528 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 30002115528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57121318800).

30002115528 is an abundant number, since it is smaller than the sum of its proper divisors (84240522072).

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

30002115528 is a wasteful number, since it uses less digits than its factorization.

30002115528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

It can be divided in two parts, 30002 and 115528, that added together give a triangular number (145530 = T539).

The spelling of 30002115528 in words is "thirty billion, two million, one hundred fifteen thousand, five hundred twenty-eight".