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235085681837430 = 23353128086700339
BaseRepresentation
bin110101011100111100100110…
…100011101100010101110110
31010211100222020100221021011000
4311130330212203230111312
5221303120434022244210
62151552512112224130
7100342244230252404
oct6534744643542566
91124328210837130
10235085681837430
11689a63067a9556
122244921b23b046
13a12363baa6178
14420a2c9d60474
151c2a1b8795ac0
hexd5cf268ec576

235085681837430 has 64 divisors (see below), whose sum is σ = 647117575833600. Its totient is φ = 60667272730080.

The previous prime is 235085681837359. The next prime is 235085681837441. The reversal of 235085681837430 is 34738186580532.

235085681837430 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 8 + 568 + 1 + 8 + 37 + 4 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14043341800 + ... + 14043358539.

It is an arithmetic number, because the mean of its divisors is an integer number (10111212122400).

Almost surely, 2235085681837430 is an apocalyptic number.

235085681837430 is an abundant number, since it is smaller than the sum of its proper divisors (412031893996170).

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

235085681837430 is a wasteful number, since it uses less digits than its factorization.

235085681837430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28086700386 (or 28086700380 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 235085681837430 in words is "two hundred thirty-five trillion, eighty-five billion, six hundred eighty-one million, eight hundred thirty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 28086700339 56173400678 84260101017 140433501695 168520202034 252780303051 280867003390 421300505085 505560606102 758340909153 842601010170 870687710509 1263901515255 1516681818306 1741375421018 2527803030510 2612063131527 3791704545765 4353438552545 5224126263054 7583409091530 7836189394581 8706877105090 13060315657635 15672378789162 23508568183743 26120631315270 39180946972905 47017136367486 78361893945810 117542840918715 235085681837430