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30215337984 = 211341314011
BaseRepresentation
bin11100001000111110…
…010111100000000000
32212222202111012120000
4130020332113200000
5443340111303414
621514123320000
72116523064246
oct341076274000
985882435500
1030215337984
11118a5852707
125a33080000
132b06b8c820
141668ca0796
15bbc9b2b09
hex708f97800

30215337984 has 240 divisors, whose sum is σ = 97200263160. Its totient is φ = 9296363520.

The previous prime is 30215337967. The next prime is 30215338067. The reversal of 30215337984 is 48973351203.

30215337984 is a `hidden beast` number, since 3 + 0 + 21 + 533 + 7 + 98 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2149539 + ... + 2163549.

Almost surely, 230215337984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30215337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600131580).

30215337984 is an abundant number, since it is smaller than the sum of its proper divisors (66984925176).

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

30215337984 is a wasteful number, since it uses less digits than its factorization.

30215337984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14058 (or 14029 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 30215337984 in words is "thirty billion, two hundred fifteen million, three hundred thirty-seven thousand, nine hundred eighty-four".