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209931005088016 = 241787220272
BaseRepresentation
bin101111101110111001011110…
…111111000101000100010000
31000112022012121200202122002021
4233232321132333011010100
5210004002144300304031
62022252550010101224
762135005002624202
oct5756713677050420
91015265550678067
10209931005088016
116098826a533853
121b666050a1a814
13901a54129baa4
1439baa01810772
151940bc1c5a511
hexbeee5efc5110

209931005088016 has 45 divisors (see below), whose sum is σ = 407169934119319. Its totient is φ = 104855009460512.

The previous prime is 209931005087983. The next prime is 209931005088019. The reversal of 209931005088016 is 610880500139902.

The square root of 209931005088016 is 14488996.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209931005088019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103567342395 + ... + 103567344421.

Almost surely, 2209931005088016 is an apocalyptic number.

209931005088016 is the 14488996-th square number.

It is an amenable number.

209931005088016 is a deficient number, since it is larger than the sum of its proper divisors (197238929031303).

209931005088016 is an frugal number, since it uses more digits than its factorization.

209931005088016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7636 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 209931005088016 in words is "two hundred nine trillion, nine hundred thirty-one billion, five million, eighty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 1787 2027 3574 4054 7148 8108 14296 16216 28592 32432 3193369 3622249 4108729 6386738 7244498 8217458 12773476 14488996 16434916 25546952 28977992 32869832 51093904 57955984 65739664 6472958963 7342298723 12945917926 14684597446 25891835852 29369194892 51783671704 58738389784 103567343408 117476779568 13120687818001 26241375636002 52482751272004 104965502544008 209931005088016