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216707441917146 = 236911151131934429
BaseRepresentation
bin110001010001100000100010…
…000110000111110011011010
31001102022000210020011211011220
4301101200202012013303122
5211401013320112322041
62044522005141032510
763434411300402265
oct6121404206076332
91042260706154156
10216707441917146
1163060123457964
122037b42b9b5736
1393bc56894699b
143b729a6359cdc
151a0c0d052ed66
hexc51822187cda

216707441917146 has 64 divisors (see below), whose sum is σ = 434761194700800. Its totient is φ = 72011877048000.

The previous prime is 216707441917129. The next prime is 216707441917147. The reversal of 216707441917146 is 641719144707612.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216707441917146.

It is not an unprimeable number, because it can be changed into a prime (216707441917147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6294311460 + ... + 6294345888.

It is an arithmetic number, because the mean of its divisors is an integer number (6793143667200).

Almost surely, 2216707441917146 is an apocalyptic number.

216707441917146 is an abundant number, since it is smaller than the sum of its proper divisors (218053752783654).

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

216707441917146 is a wasteful number, since it uses less digits than its factorization.

216707441917146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37595.

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 216707441917146 in words is "two hundred sixteen trillion, seven hundred seven billion, four hundred forty-one million, nine hundred seventeen thousand, one hundred forty-six".

Divisors: 1 2 3 6 691 1151 1319 1382 2073 2302 2638 3453 3957 4146 6906 7914 34429 68858 103287 206574 795341 911429 1518169 1590682 1822858 2386023 2734287 3036338 4554507 4772046 5468574 9109014 23790439 39627779 45411851 47580878 71371317 79255558 90823702 118883337 136235553 142742634 237766674 272471106 1049054779 2098109558 3147164337 6294328674 27382795289 31379589041 52269040501 54765590578 62759178082 82148385867 94138767123 104538081002 156807121503 164296771734 188277534246 313614243006 36117906986191 72235813972382 108353720958573 216707441917146