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216730397520 = 243557131011213
BaseRepresentation
bin1100100111011000100…
…0110110101101010000
3202201102022110221100000
43021312020312231100
512022330440210040
6243321540330000
721441531661110
oct3116610665520
9681368427300
10216730397520
1183a0772850a
12360066a3900
131758c4c8690
14a6c0061040
155987144130
hex3276236b50

216730397520 has 960 divisors, whose sum is σ = 938968902144. Its totient is φ = 45237657600.

The previous prime is 216730397497. The next prime is 216730397579. The reversal of 216730397520 is 25793037612.

216730397520 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 30 + 3 + 97 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178672434 + ... + 178673646.

Almost surely, 2216730397520 is an apocalyptic number.

216730397520 is a gapful number since it is divisible by the number (20) 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 216730397520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469484451072).

216730397520 is an abundant number, since it is smaller than the sum of its proper divisors (722238504624).

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

216730397520 is a wasteful number, since it uses less digits than its factorization.

216730397520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 216730397520 in words is "two hundred sixteen billion, seven hundred thirty million, three hundred ninety-seven thousand, five hundred twenty".