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81600242424336 = 24323122669806371
BaseRepresentation
bin10010100011011100001001…
…011101101001101000010000
3101200220220111012021221021100
4102203130021131221220100
541143414244030034321
6445314344525224400
723121265035235026
oct2243341135515020
9350826435257240
1081600242424336
1124000517597619
12919a810102100
13366bb400776bc
141621689548716
15967922457326
hex4a3709769a10

81600242424336 has 120 divisors (see below), whose sum is σ = 235744724983040. Its totient is φ = 26321465030400.

The previous prime is 81600242424299. The next prime is 81600242424347. The reversal of 81600242424336 is 63342424200618.

81600242424336 is a `hidden beast` number, since 8 + 1 + 600 + 2 + 4 + 2 + 4 + 2 + 4 + 3 + 36 = 666.

81600242424336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 81600242424291 and 81600242424300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100791231 + ... + 101597601.

Almost surely, 281600242424336 is an apocalyptic number.

It is an amenable number.

81600242424336 is an abundant number, since it is smaller than the sum of its proper divisors (154144482558704).

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

81600242424336 is a wasteful number, since it uses less digits than its factorization.

81600242424336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829085 (or 829076 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 81600242424336 in words is "eighty-one trillion, six hundred billion, two hundred forty-two million, four hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 22669 45338 68007 90676 136014 181352 204021 272028 362704 408042 544056 702739 806371 816084 1088112 1405478 1612742 1632168 2108217 2419113 2810956 3225484 3264336 4216434 4838226 5621912 6324651 6450968 7257339 8432868 9676452 11243824 12649302 12901936 14514678 16865736 19352904 24997501 25298604 29029356 33731472 38705808 49995002 50597208 58058712 74992503 99990004 101194416 116117424 149985006 199980008 224977509 299970012 399960016 449955018 599940024 899910036 1199880048 1799820072 3599640144 18279624199 36559248398 54838872597 73118496796 109677745194 146236993592 164516617791 219355490388 292473987184 329033235582 438710980776 566668350169 658066471164 877421961552 1133336700338 1316132942328 1700005050507 2266673400676 2632265884656 3400010101014 4533346801352 5100015151521 6800020202028 9066693602704 10200030303042 13600040404056 20400060606084 27200080808112 40800121212168 81600242424336