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78396637212 = 223323127248509
BaseRepresentation
bin100100100000011001…
…1011100000000011100
321111100121002210202000
41021000303130000130
52241024014342322
6100003120002300
75443512264345
oct1110063340034
9244317083660
1078396637212
113027a948973
121323aa60390
137514bc253a
143b19c4b0cc
15208c8583ac
hex1240cdc01c

78396637212 has 96 divisors (see below), whose sum is σ = 213758361600. Its totient is φ = 24799110336.

The previous prime is 78396637183. The next prime is 78396637213. The reversal of 78396637212 is 21273669387.

78396637212 is a `hidden beast` number, since 7 + 8 + 396 + 6 + 37 + 212 = 666.

It is a super-2 number, since 2×783966372122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78396637213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191214 + ... + 439722.

It is an arithmetic number, because the mean of its divisors is an integer number (2226649600).

Almost surely, 278396637212 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 78396637212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106879180800).

78396637212 is an abundant number, since it is smaller than the sum of its proper divisors (135361724388).

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

78396637212 is a wasteful number, since it uses less digits than its factorization.

78396637212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248672 (or 248664 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 78396637212 in words is "seventy-eight billion, three hundred ninety-six million, six hundred thirty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 127 138 207 254 276 381 414 508 621 762 828 1143 1242 1524 2286 2484 2921 3429 4572 5842 6858 8763 11684 13716 17526 26289 35052 52578 78867 105156 157734 248509 315468 497018 745527 994036 1491054 2236581 2982108 4473162 5715707 6709743 8946324 11431414 13419486 17147121 22862828 26838972 31560643 34294242 51441363 63121286 68588484 94681929 102882726 126242572 154324089 189363858 205765452 284045787 308648178 378727716 568091574 617296356 725894789 852137361 1136183148 1451789578 1704274722 2177684367 2903579156 3408549444 4355368734 6533053101 8710737468 13066106202 19599159303 26132212404 39198318606 78396637212