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30505810896 = 243311311571319
BaseRepresentation
bin11100011010010010…
…011011101111010000
32220202000001202111000
4130122102123233100
5444433441422041
622003021222000
72126651054121
oct343222335720
986660052430
1030505810896
1111a3480a270
125ab4401900
132b521030a2
1416956b4048
15bd823dbb6
hex71a49bbd0

30505810896 has 320 divisors, whose sum is σ = 99307929600. Its totient is φ = 8882265600.

The previous prime is 30505810883. The next prime is 30505810913. The reversal of 30505810896 is 69801850503.

30505810896 is a `hidden beast` number, since 30 + 505 + 8 + 108 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23127325 + ... + 23128643.

It is an arithmetic number, because the mean of its divisors is an integer number (310337280).

Almost surely, 230505810896 is an apocalyptic number.

30505810896 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 30505810896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49653964800).

30505810896 is an abundant number, since it is smaller than the sum of its proper divisors (68802118704).

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

30505810896 is a wasteful number, since it uses less digits than its factorization.

30505810896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 30505810896 in words is "thirty billion, five hundred five million, eight hundred ten thousand, eight hundred ninety-six".