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136084053456 = 24331331781661
BaseRepresentation
bin111111010111100111…
…1011101110111010000
3111000020221011011222000
41332233033131313100
54212200004202311
6142303253314000
712555201240351
oct1765717356720
9430227134860
10136084053456
115279299a58a
122245a335900
13caa94bc970
14682d517d28
153817051056
hex1faf3dddd0

136084053456 has 160 divisors (see below), whose sum is σ = 434228874240. Its totient is φ = 40521254400.

The previous prime is 136084053451. The next prime is 136084053463. The reversal of 136084053456 is 654350480631.

136084053456 is a `hidden beast` number, since 1 + 3 + 60 + 8 + 4 + 0 + 534 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136084053451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216735 + ... + 564926.

It is an arithmetic number, because the mean of its divisors is an integer number (2713930464).

Almost surely, 2136084053456 is an apocalyptic number.

136084053456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136084053456 is an abundant number, since it is smaller than the sum of its proper divisors (298144820784).

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

136084053456 is a wasteful number, since it uses less digits than its factorization.

136084053456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781722 (or 781710 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 136084053456 in words is "one hundred thirty-six billion, eighty-four million, fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 4464 4836 5616 6448 6696 7254 9672 10881 13392 14508 19344 21762 29016 43524 58032 87048 174096 781661 1563322 2344983 3126644 4689966 6253288 7034949 9379932 10161593 12506576 14069898 18759864 20323186 21104847 24231491 28139796 30484779 37519728 40646372 42209694 48462982 56279592 60969558 72694473 81292744 84419388 91454337 96925964 112559184 121939116 145388946 162585488 168838776 182908674 193851928 218083419 243878232 274363011 290777892 315009383 337677552 365817348 387703856 436166838 487756464 548726022 581555784 630018766 654250257 731634696 872333676 945028149 1097452044 1163111568 1260037532 1308500514 1463269392 1744667352 1890056298 2194904088 2520075064 2617001028 2835084447 3489334704 3780112596 4389808176 5040150128 5234002056 5670168894 7560225192 8505253341 10468004112 11340337788 15120450384 17010506682 22680675576 34021013364 45361351152 68042026728 136084053456