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42116366546352 = 24327172457771157
BaseRepresentation
bin10011001001101111110110…
…00100010011010110110000
312112010021200222221220101200
421210313323010103112300
521010013304313440402
6225323554112131200
711604543552630630
oct1144677304232660
9175107628856350
1042116366546352
11124684a5a4251a
124882525b36b00
131a66730322107
14a5862b8d46c0
154d0823bd121c
hex264dfb1135b0

42116366546352 has 120 divisors (see below), whose sum is σ = 142629375841056. Its totient is φ = 11325409486848.

The previous prime is 42116366546341. The next prime is 42116366546411. The reversal of 42116366546352 is 25364566361124.

42116366546352 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 6 + 3 + 66 + 546 + 35 + 2 = 666.

42116366546352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1228868443 + ... + 1228902714.

Almost surely, 242116366546352 is an apocalyptic number.

42116366546352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42116366546352 is an abundant number, since it is smaller than the sum of its proper divisors (100513009294704).

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

42116366546352 is a wasteful number, since it uses less digits than its factorization.

42116366546352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457771195 (or 2457771186 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 42116366546352 in words is "forty-two trillion, one hundred sixteen billion, three hundred sixty-six million, five hundred forty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 2457771157 4915542314 7373313471 9831084628 14746626942 17204398099 19662169256 22119940413 29493253884 34408796198 39324338512 41782109669 44239880826 51613194297 58986507768 68817592396 83564219338 88479761652 103226388594 117973015536 125346329007 137635184792 154839582891 167128438676 176959523304 206452777188 250692658014 275270369584 292474767683 309679165782 334256877352 353919046608 376038987021 412905554376 501385316028 584949535366 619358331564 668513754704 752077974042 825811108752 877424303049 1002770632056 1169899070732 1238716663128 1504155948084 1754848606098 2005541264112 2339798141464 2477433326256 2632272909147 3008311896168 3509697212196 4679596282928 5264545818294 6016623792336 7019394424392 10529091636588 14038788848784 21058183273176 42116366546352