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212314620023604 = 223275924281588113
BaseRepresentation
bin110000010001100101011001…
…100000011101001100110100
31000211202002010220210100011200
4300101211121200131030310
5210312030320211223404
62031315553454332500
762502140131365210
oct6021453140351464
91024662126710150
10212314620023604
1161717140a7758a
121b98bbb47ba130
13916124b6a5bb7
143a601222d7940
151982bcce27839
hexc1195981d334

212314620023604 has 144 divisors (see below), whose sum is σ = 623775915584640. Its totient is φ = 59630604687360.

The previous prime is 212314620023603. The next prime is 212314620023641. The reversal of 212314620023604 is 406320026413212.

212314620023604 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 1 + 4 + 6 + 20 + 0 + 23 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212314620023603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360715852 + ... + 361303964.

It is an arithmetic number, because the mean of its divisors is an integer number (4331777191560).

Almost surely, 2212314620023604 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 212314620023604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311887957792320).

212314620023604 is an abundant number, since it is smaller than the sum of its proper divisors (411461295561036).

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

212314620023604 is a wasteful number, since it uses less digits than its factorization.

212314620023604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612470 (or 612465 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 212314620023604 its reverse (406320026413212), we get a palindrome (618634646436816).

The spelling of 212314620023604 in words is "two hundred twelve trillion, three hundred fourteen billion, six hundred twenty million, twenty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 14868 24281 48562 72843 97124 145686 169967 218529 291372 339934 437058 509901 588113 679868 874116 1019802 1176226 1432579 1529703 1764339 2039604 2352452 2865158 3059406 3528678 4116791 4297737 5293017 5730316 6118812 7057356 8233582 8595474 10028053 10586034 12350373 12893211 16467164 17190948 20056106 21172068 24700746 25786422 30084159 34698667 37051119 40112212 49401492 51572844 60168318 69397334 74102238 90252477 104096001 120336636 138794668 148204476 180504954 208192002 242890669 312288003 361009908 416384004 485781338 624576006 728672007 971562676 1249152012 1457344014 2186016021 2914688028 4372032042 8744064084 14279971753 28559943506 42839915259 57119887012 85679830518 99959802271 128519745777 171359661036 199919604542 257039491554 299879406813 399839209084 514078983108 599758813626 842518333427 899638220439 1199517627252 1685036666854 1799276440878 2527555000281 3370073333708 3598552881756 5055110000562 5897628333989 7582665000843 10110220001124 11795256667978 15165330001686 17692885001967 23590513335956 30330660003372 35385770003934 53078655005901 70771540007868 106157310011802 212314620023604