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211308063616 = 27132235211093
BaseRepresentation
bin1100010011001011110…
…0010010101110000000
3202012102102101211120101
43010302330102232000
511430224331013431
6241023521052144
721160260622336
oct3046274225600
9665372354511
10211308063616
1181684990821
1234b52787054
1316c07008990
14a327c63b56
15576b0b6961
hex3132f12b80

211308063616 has 128 divisors (see below), whose sum is σ = 456671658240. Its totient is φ = 96814448640.

The previous prime is 211308063613. The next prime is 211308063643. The reversal of 211308063616 is 616360803112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211308063613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193327966 + ... + 193329058.

It is an arithmetic number, because the mean of its divisors is an integer number (3567747330).

Almost surely, 2211308063616 is an apocalyptic number.

211308063616 is a gapful number since it is divisible by the number (26) 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 211308063616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228335829120).

211308063616 is an abundant number, since it is smaller than the sum of its proper divisors (245363594624).

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

211308063616 is a wasteful number, since it uses less digits than its factorization.

211308063616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 211308063616 its reverse (616360803112), we get a palindrome (827668866728).

The spelling of 211308063616 in words is "two hundred eleven billion, three hundred eight million, sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 223 416 446 521 832 892 1042 1093 1664 1784 2084 2186 2899 3568 4168 4372 5798 6773 7136 8336 8744 11596 13546 14209 14272 16672 17488 23192 27092 28418 28544 33344 34976 46384 54184 56836 66688 69952 92768 108368 113672 116183 139904 185536 216736 227344 232366 243739 371072 433472 454688 464732 487478 569453 866944 909376 929464 974956 1138906 1510379 1818752 1858928 1949912 2277812 3020758 3168607 3717856 3899824 4555624 6041516 6337214 7402889 7435712 7799648 9111248 12083032 12674428 14805778 14871424 15599296 18222496 24166064 25348856 29611556 31198592 36444992 48332128 50697712 59223112 72889984 96664256 101395424 118446224 126988019 193328512 202790848 236892448 253976038 405581696 473784896 507952076 947569792 1015904152 1650844247 2031808304 3301688494 4063616608 6603376988 8127233216 13206753976 16254466432 26413507952 52827015904 105654031808 211308063616