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30421987560 = 233351719372357
BaseRepresentation
bin11100010101010010…
…101011000011101000
32220112011100002111000
4130111102223003220
5444301012100220
621550424435000
72124612425166
oct342522530350
986464302430
1030421987560
11119a1467588
125a90318a60
132b3a934693
1416884d4236
15bd0bd2390
hex7154ab0e8

30421987560 has 512 divisors, whose sum is σ = 116126784000. Its totient is φ = 7034978304.

The previous prime is 30421987549. The next prime is 30421987573. The reversal of 30421987560 is 6578912403.

30421987560 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 1 + 9 + 87 + 560 = 666.

It is a Cunningham number, because it is equal to 1744192-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12905902 + ... + 12908258.

It is an arithmetic number, because the mean of its divisors is an integer number (226810125).

It is a 2-persistent number, because it is pandigital, and so is 2⋅30421987560 = 60843975120, but 3⋅30421987560 = 91265962680 is not.

Almost surely, 230421987560 is an apocalyptic number.

30421987560 is a gapful number since it is divisible by the number (30) 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 30421987560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58063392000).

30421987560 is an abundant number, since it is smaller than the sum of its proper divisors (85704796440).

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

30421987560 is a wasteful number, since it uses less digits than its factorization.

30421987560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 30421987560 in words is "thirty billion, four hundred twenty-one million, nine hundred eighty-seven thousand, five hundred sixty".