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9781325216 = 251333732
BaseRepresentation
bin10010001110000001…
…10010110110100000
3221020200021210201022
421013000302312200
5130013004401331
64254331425012
7464250615065
oct110700626640
927220253638
109781325216
11416a337453
121a8b8b5168
13bcb5c5000
1468b0bcc6c
153c3ab567b
hex247032da0

9781325216 has 72 divisors (see below), whose sum is σ = 20917079820. Its totient is φ = 4502354688.

The previous prime is 9781325201. The next prime is 9781325227. The reversal of 9781325216 is 6125231879.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 217267600 + 9564057616 = 14740^2 + 97796^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26223206 + ... + 26223578.

Almost surely, 29781325216 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 9781325216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458539910).

9781325216 is an abundant number, since it is smaller than the sum of its proper divisors (11135754604).

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

9781325216 is an frugal number, since it uses more digits than its factorization.

9781325216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 388 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 9781325216 is about 98900.5824856457. The cubic root of 9781325216 is about 2138.6147916811.

The spelling of 9781325216 in words is "nine billion, seven hundred eighty-one million, three hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 373 416 676 746 1352 1492 2197 2704 2984 4394 4849 5408 5968 8788 9698 11936 17576 19396 35152 38792 63037 70304 77584 126074 139129 155168 252148 278258 504296 556516 819481 1008592 1113032 1638962 1808677 2017184 2226064 3277924 3617354 4452128 6555848 7234708 13111696 14469416 23512801 26223392 28938832 47025602 57877664 94051204 188102408 305666413 376204816 611332826 752409632 1222665652 2445331304 4890662608 9781325216