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217506012072 = 23310189730203
BaseRepresentation
bin1100101010010001011…
…1100101101110101000
3202210102100221020110220
43022210113211232220
512030423014341242
6243530524410040
721500000412036
oct3124427455650
9683370836426
10217506012072
1184275523178
12361a23a6920
13176840c0cbb
14a75507d556
1559d02a0bec
hex32a45e5ba8

217506012072 has 32 divisors (see below), whose sum is σ = 549148848480. Its totient is φ = 71784161600.

The previous prime is 217506012041. The next prime is 217506012091. The reversal of 217506012072 is 270210605712.

217506012072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44862678 + ... + 44867525.

It is an arithmetic number, because the mean of its divisors is an integer number (17160901515).

Almost surely, 2217506012072 is an apocalyptic number.

It is an amenable number.

217506012072 is an abundant number, since it is smaller than the sum of its proper divisors (331642836408).

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

217506012072 is a wasteful number, since it uses less digits than its factorization.

217506012072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89730313 (or 89730309 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

Adding to 217506012072 its reverse (270210605712), we get a palindrome (487716617784).

The spelling of 217506012072 in words is "two hundred seventeen billion, five hundred six million, twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 89730203 179460406 269190609 358920812 538381218 717841624 1076762436 2153524872 9062750503 18125501006 27188251509 36251002012 54376503018 72502004024 108753006036 217506012072