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200030106528 = 25347210914449
BaseRepresentation
bin1011101001001010111…
…0010011001110100000
3201010022102221020220000
42322102232103032200
511234130201402103
6231520443220000
720310634565100
oct2722256231640
9633272836800
10200030106528
117791786472a
1232925817600
1315b2a6307a5
1499780bb200
15530ae1eaa3
hex2e92b933a0

200030106528 has 360 divisors, whose sum is σ = 690655234500. Its totient is φ = 56623214592.

The previous prime is 200030106503. The next prime is 200030106541. The reversal of 200030106528 is 825601030002.

200030106528 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 0 + 1 + 0 + 652 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164404299024 + 35625807504 = 405468^2 + 188748^2 .

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 59 ways as a sum of consecutive naturals, for example, 13836648 + ... + 13851096.

Almost surely, 2200030106528 is an apocalyptic number.

200030106528 is a gapful number since it is divisible by the number (28) 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 200030106528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345327617250).

200030106528 is an abundant number, since it is smaller than the sum of its proper divisors (490625127972).

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

200030106528 is a wasteful number, since it uses less digits than its factorization.

200030106528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14594 (or 14570 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 200030106528 in words is "two hundred billion, thirty million, one hundred six thousand, five hundred twenty-eight".