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51423053413716 = 2232293111969132751
BaseRepresentation
bin10111011000100110111001…
…10101001111110101010100
320202001222220000012211001100
423230103130311033311110
523220003403133214331
6301211231414430100
713555123126023645
oct1354233465176524
9222058800184040
1051423053413716
1115426438068306
125926170662330
13229023349b14a
14c9ac638476cc
155e2971b30ae6
hex2ec4dcd4fd54

51423053413716 has 144 divisors (see below), whose sum is σ = 138818660198400. Its totient is φ = 16014620160000.

The previous prime is 51423053413679. The next prime is 51423053413723. The reversal of 51423053413716 is 61731435032415.

51423053413716 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 30 + 534 + 13 + 71 + 6 = 666.

It is a super-2 number, since 2×514230534137162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387298341 + ... + 387431091.

It is an arithmetic number, because the mean of its divisors is an integer number (964018473600).

Almost surely, 251423053413716 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 51423053413716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69409330099200).

51423053413716 is an abundant number, since it is smaller than the sum of its proper divisors (87395606784684).

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

51423053413716 is a wasteful number, since it uses less digits than its factorization.

51423053413716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144790 (or 144785 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 51423053413716 in words is "fifty-one trillion, four hundred twenty-three billion, fifty-three million, four hundred thirteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 11969 16182 23938 32364 35907 47876 71814 107721 132751 143628 215442 265502 347101 371039 398253 430884 531004 694202 742078 796506 1041303 1113117 1194759 1388404 1484156 1593012 2082606 2226234 2389518 3123909 3339351 3849779 4115281 4165212 4452468 4779036 6247818 6678702 7699558 8230562 10760131 11549337 12345843 12495636 13357404 15399116 16461124 21520262 23098674 24691686 32280393 34648011 37037529 43040524 46197348 49383372 64560786 69296022 74075058 96841179 119343149 129121572 138592044 148150116 193682358 238686298 358029447 387364716 477372596 716058894 1074088341 1432117788 1588896719 2148176682 3177793438 4296353364 4766690157 6355586876 9533380314 14300070471 19066760628 28600140942 46078004851 49255798289 57200281884 92156009702 98511596578 138234014553 147767394867 184312019404 197023193156 276468029106 295534789734 414702043659 443302184601 552936058212 591069579468 829404087318 886604369202 1428418150381 1658808174636 1773208738404 2856836300762 4285254451143 5713672601524 8570508902286 12855763353429 17141017804572 25711526706858 51423053413716