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216677065881848 = 231113434799195661
BaseRepresentation
bin110001010001000100001111…
…100010101111100011111000
31001102012010101021022100100112
4301101010033202233203320
5211400014112331204343
62044500023033123452
763432254453352515
oct6121041742574370
91042163337270315
10216677065881848
1163049255a26a60
1220375572b59588
1393b97376b11c0
143b71323dc830c
151a0b4038c8218
hexc5110f8af8f8

216677065881848 has 128 divisors (see below), whose sum is σ = 489415201228800. Its totient is φ = 88613793676800.

The previous prime is 216677065881839. The next prime is 216677065881883. The reversal of 216677065881848 is 848188560776612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18965138 + ... + 28160798.

It is an arithmetic number, because the mean of its divisors is an integer number (3823556259600).

Almost surely, 2216677065881848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216677065881848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244707600614400).

216677065881848 is an abundant number, since it is smaller than the sum of its proper divisors (272738135346952).

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

216677065881848 is a wasteful number, since it uses less digits than its factorization.

216677065881848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196213 (or 9196209 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 77.

The spelling of 216677065881848 in words is "two hundred sixteen trillion, six hundred seventy-seven billion, sixty-five million, eight hundred eighty-one thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 43 44 52 86 88 104 143 172 286 344 473 479 559 572 946 958 1118 1144 1892 1916 2236 3784 3832 4472 5269 6149 6227 10538 12298 12454 20597 21076 24596 24908 41194 42152 49192 49816 68497 82388 136994 164776 226567 267761 273988 453134 535522 547976 906268 1071044 1812536 2142088 2945371 5890742 9195661 11781484 18391322 23562968 36782644 73565288 101152271 119543593 202304542 239087186 395413423 404609084 478174372 790826846 809218168 956348744 1314979523 1581653692 2629959046 3163307384 4349547653 4404721619 5140374499 5259918092 8699095306 8809443238 10280748998 10519836184 17398190612 17618886476 20561497996 34796381224 35237772952 41122995992 48451937809 56544119489 57261381047 96903875618 113088238978 114522762094 189403029617 193807751236 226176477956 229045524188 378806059234 387615502472 452352955912 458091048376 629875191517 757612118468 1259750383034 1515224236936 2083433325787 2462239385021 2519500766068 4166866651574 4924478770042 5039001532136 8333733303148 9848957540084 16667466606296 19697915080168 27084633235231 54169266470462 108338532940924 216677065881848