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30485718432 = 25321331237229
BaseRepresentation
bin11100011001000101…
…110010010110100000
32220200121020221210200
4130121011302112200
5444413320442212
622001022425200
72126315221401
oct343105622640
986617227720
1030485718432
1111a24436524
125aa9732200
132b4abb9860
141692b639a8
15bd65c06dc
hex7191725a0

30485718432 has 432 divisors, whose sum is σ = 99511350120. Its totient is φ = 8793722880.

The previous prime is 30485718397. The next prime is 30485718449. The reversal of 30485718432 is 23481758403.

30485718432 is a `hidden beast` number, since 3 + 0 + 48 + 571 + 8 + 4 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30180028176 + 305690256 = 173724^2 + 17484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133125294 + ... + 133125522.

Almost surely, 230485718432 is an apocalyptic number.

30485718432 is a gapful number since it is divisible by the number (32) 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 30485718432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49755675060).

30485718432 is an abundant number, since it is smaller than the sum of its proper divisors (69025631688).

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

30485718432 is a wasteful number, since it uses less digits than its factorization.

30485718432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 30485718432 in words is "thirty billion, four hundred eighty-five million, seven hundred eighteen thousand, four hundred thirty-two".