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30940206336 = 2838132109
BaseRepresentation
bin11100110100001011…
…100001010100000000
32221212021110100000000
4130310023201110000
51001331143100321
622114100000000
72143504262124
oct346413412400
987767410000
1030940206336
1112137a37a66
125bb5990000
132bc10c8200
1416d726d584
15c11448826
hex7342e1500

30940206336 has 486 divisors, whose sum is σ = 101228757630. Its totient is φ = 9432723456.

The previous prime is 30940206307. The next prime is 30940206413. The reversal of 30940206336 is 63360204903.

30940206336 is a `hidden beast` number, since 30 + 94 + 0 + 206 + 336 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 329204736 + 30611001600 = 18144^2 + 174960^2 .

It is a tau number, because it is divible by the number of its divisors (486).

It is a super-2 number, since 2×309402063362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30940206336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 283855050 + ... + 283855158.

Almost surely, 230940206336 is an apocalyptic number.

30940206336 is a gapful number since it is divisible by the number (36) 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 30940206336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50614378815).

30940206336 is an abundant number, since it is smaller than the sum of its proper divisors (70288551294).

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

30940206336 is an frugal number, since it uses more digits than its factorization.

30940206336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 30940206336 in words is "thirty billion, nine hundred forty million, two hundred six thousand, three hundred thirty-six".