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84502009152 = 26321121212437
BaseRepresentation
bin100111010110010110…
…1100101010101000000
322002010002102211112200
41032230231211111000
52341030003243102
6102453015153200
76051016140501
oct1165455452500
9262102384480
1084502009152
11329231aa200
1214463675800
137c78a62c62
144138a48ba8
1522e885751c
hex13acb65540

84502009152 has 126 divisors (see below), whose sum is σ = 266230773354. Its totient is φ = 25606648320.

The previous prime is 84502009103. The next prime is 84502009181. The reversal of 84502009152 is 25190020548.

It can be written as a sum of positive squares in only one way, i.e., 43607462976 + 40894546176 = 208824^2 + 202224^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 536523 + ... + 675914.

Almost surely, 284502009152 is an apocalyptic number.

It is an amenable number.

84502009152 is an abundant number, since it is smaller than the sum of its proper divisors (181728764202).

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

84502009152 is a wasteful number, since it uses less digits than its factorization.

84502009152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212477 (or 1212453 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 84502009152 in words is "eighty-four billion, five hundred two million, nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 69696 1212437 2424874 3637311 4849748 7274622 9699496 10911933 13336807 14549244 19398992 21823866 26673614 29098488 38797984 40010421 43647732 53347228 58196976 77595968 80020842 87295464 106694456 116393952 120031263 146704877 160041684 174590928 213388912 232787904 240062526 293409754 320083368 349181856 426777824 440114631 480125052 586819508 640166736 698363712 853555648 880229262 960250104 1173639016 1280333472 1320343893 1760458524 1920500208 2347278032 2560666944 2640687786 3520917048 3841000416 4694556064 5281375572 7041834096 7682000832 9389112128 10562751144 14083668192 21125502288 28167336384 42251004576 84502009152