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10204241533216 = 257321312931559
BaseRepresentation
bin1001010001111101110000…
…1100010001100100100000
31100010111221010201011001121
42110133130030101210200
52314141241313030331
633411432553542024
72102142421624333
oct224373414214440
940114833634047
1010204241533216
11328465a359975
121189797a14914
13590343135a63
14273c6067861a
1512a68094cc11
hex947dc311920

10204241533216 has 144 divisors (see below), whose sum is σ = 20607313446720. Its totient is φ = 4973578721280.

The previous prime is 10204241533181. The next prime is 10204241533223. The reversal of 10204241533216 is 61233514240201.

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, 6545375445 + ... + 6545377003.

It is an arithmetic number, because the mean of its divisors is an integer number (143106343380).

Almost surely, 210204241533216 is an apocalyptic number.

10204241533216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10204241533216 is an abundant number, since it is smaller than the sum of its proper divisors (10403071913504).

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

10204241533216 is a wasteful number, since it uses less digits than its factorization.

10204241533216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 10204241533216 its reverse (61233514240201), we get a palindrome (71437755773417).

The spelling of 10204241533216 in words is "ten trillion, two hundred four billion, two hundred forty-one million, five hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 73 131 146 262 292 293 524 584 586 1048 1168 1172 1559 2096 2336 2344 3118 4192 4688 5329 6236 9376 9563 10658 12472 19126 21316 21389 24944 38252 38383 42632 42778 49888 76504 76766 85264 85556 113807 153008 153532 170528 171112 204229 227614 306016 307064 342224 408458 455228 456787 614128 684448 698099 816916 910456 913574 1228256 1396198 1561397 1633832 1820912 1827148 2792396 2801959 3122794 3267664 3641824 3654296 5584792 5603918 6245588 6535328 7308592 8307911 11169584 11207836 12491176 14617184 14908717 16615822 22339168 22415672 24982352 29817434 33231644 33345451 44831344 49964704 59634868 59839097 66463288 66690902 89662688 119269736 119678194 132926576 133381804 204543007 238539472 239356388 265853152 266763608 409086014 477078944 478712776 533527216 818172028 957425552 1067054432 1088336341 1636344056 1914851104 2176672682 2434217923 3272688112 4353345364 4368254081 4868435846 6545376224 8706690728 8736508162 9736871692 17413381456 17473016324 19473743384 34826762912 34946032648 38947486768 69892065296 77894973536 139784130592 318882547913 637765095826 1275530191652 2551060383304 5102120766608 10204241533216