Search a number
-
+
216138000528 = 24321500958337
BaseRepresentation
bin1100100101001011010…
…1000010100010010000
3202122220000210001102200
43021102311002202100
512020122312004103
6243143055243200
721421046456142
oct3112265024220
9678800701380
10216138000528
11837332a291a
1235a80219500
13174c6862608
14a6654d6c92
1559501290a3
hex3252d42890

216138000528 has 30 divisors (see below), whose sum is σ = 604886210214. Its totient is φ = 72046000128.

The previous prime is 216138000511. The next prime is 216138000539. The reversal of 216138000528 is 825000831612.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 167258096784 + 48879903744 = 408972^2 + 221088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216138000492 and 216138000501.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 750479025 + ... + 750479312.

Almost surely, 2216138000528 is an apocalyptic number.

It is an amenable number.

216138000528 is an abundant number, since it is smaller than the sum of its proper divisors (388748209686).

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

216138000528 is a wasteful number, since it uses less digits than its factorization.

216138000528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500958351 (or 1500958342 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 216138000528 in words is "two hundred sixteen billion, one hundred thirty-eight million, five hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1500958337 3001916674 4502875011 6003833348 9005750022 12007666696 13508625033 18011500044 24015333392 27017250066 36023000088 54034500132 72046000176 108069000264 216138000528