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212085724479696 = 243231211692244331
BaseRepresentation
bin110000001110010000001110…
…010001010000000011010000
31000210221012022210102221020100
4300032100032101100003100
5210244303030431322241
62031022500424412400
762446454651355024
oct6016201621200320
91023835283387210
10212085724479696
1161639061450591
121b953774017100
1391457a0a72962
143a5300a74a384
15197bc82ce09b6
hexc0e40e4500d0

212085724479696 has 120 divisors (see below), whose sum is σ = 612721308842240. Its totient is φ = 68411487513600.

The previous prime is 212085724479677. The next prime is 212085724479701. The reversal of 212085724479696 is 696974427580212.

212085724479696 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 8 + 5 + 7 + 2 + 447 + 96 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93376251 + ... + 95620581.

Almost surely, 2212085724479696 is an apocalyptic number.

It is an amenable number.

212085724479696 is an abundant number, since it is smaller than the sum of its proper divisors (400635584362544).

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

212085724479696 is a wasteful number, since it uses less digits than its factorization.

212085724479696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265545 (or 2265536 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 212085724479696 in words is "two hundred twelve trillion, eighty-five billion, seven hundred twenty-four million, four hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 21169 42338 63507 84676 127014 169352 190521 254028 338704 381042 508056 656239 762084 1016112 1312478 1524168 1968717 2244331 2624956 3048336 3937434 4488662 5249912 5906151 6732993 7874868 8977324 10499824 11812302 13465986 15749736 17954648 20198979 23624604 26931972 31499472 35909296 40397958 47249208 53863944 69574261 80795916 94498416 107727888 139148522 161591832 208722783 278297044 323183664 417445566 556594088 626168349 834891132 1113188176 1252336698 1669782264 2504673396 3339564528 5009346792 10018693584 47510242939 95020485878 142530728817 190040971756 285061457634 380081943512 427592186451 570122915268 760163887024 855184372902 1140245830536 1472817531109 1710368745804 2280491661072 2945635062218 3420737491608 4418452593327 5891270124436 6841474983216 8836905186654 11782540248872 13255357779981 17673810373308 23565080497744 26510715559962 35347620746616 53021431119924 70695241493232 106042862239848 212085724479696