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396363998180016 = 243218124376240187
BaseRepresentation
bin101101000011111011010111…
…1010100000011001010110000
31220222102000202112100211121100
41122013312233110003022300
5403423011432013230031
63522555035041124400
7146326232242253016
oct13207665724031260
91828360675324540
10396363998180016
1110532603386a199
1238555bb9029700
1314021c704432b9
146dc4196cdc8b6
1530c550d09ade6
hex1687daf5032b0

396363998180016 has 120 divisors (see below), whose sum is σ = 1115855117219024. Its totient is φ = 131337444349440.

The previous prime is 396363998179973. The next prime is 396363998180047. The reversal of 396363998180016 is 610081899363693.

396363998180016 is a `hidden beast` number, since 3 + 96 + 363 + 9 + 98 + 1 + 80 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 60397875 + ... + 66638061.

Almost surely, 2396363998180016 is an apocalyptic number.

396363998180016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396363998180016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557927558609512).

396363998180016 is an abundant number, since it is smaller than the sum of its proper divisors (719491119039008).

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

396363998180016 is a wasteful number, since it uses less digits than its factorization.

396363998180016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242819 (or 6242810 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 396363998180016 in words is "three hundred ninety-six trillion, three hundred sixty-three billion, nine hundred ninety-eight million, one hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 362 543 724 1086 1448 1629 2172 2437 2896 3258 4344 4874 6516 7311 8688 9748 13032 14622 19496 21933 26064 29244 38992 43866 58488 87732 116976 175464 350928 441097 882194 1323291 1764388 2646582 3528776 3969873 5293164 6240187 7057552 7939746 10586328 12480374 15879492 18720561 21172656 24960748 31758984 37441122 49921496 56161683 63517968 74882244 99842992 112323366 149764488 224646732 299528976 449293464 898586928 1129473847 2258947694 3388421541 4517895388 6776843082 9035790776 10165264623 13553686164 15207335719 18071581552 20330529246 27107372328 30414671438 40661058492 45622007157 54214744656 60829342876 81322116984 91244014314 121658685752 136866021471 162644233968 182488028628 243317371504 273732042942 364976057256 547464085884 729952114512 1094928171768 2189856343536 2752527765139 5505055530278 8257583295417 11010111060556 16515166590834 22020222121112 24772749886251 33030333181668 44040444242224 49545499772502 66060666363336 99090999545004 132121332726672 198181999090008 396363998180016