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67669036912368 = 2433372742028787
BaseRepresentation
bin11110110001011011011001…
…11010000100111011110000
322212121002121112100001212000
433120231230322010323300
532332142141422143433
6355530420522534000
720152632550220643
oct1730555472047360
9285532545301760
1067669036912368
111a61a306233021
12770a867667300
132b9b216896b08
14129d2ad969a5a
157c5360de1113
hex3d8b6ce84ef0

67669036912368 has 80 divisors (see below), whose sum is σ = 194287318863360. Its totient is φ = 22550292955584.

The previous prime is 67669036912331. The next prime is 67669036912447. The reversal of 67669036912368 is 86321963096676.

It is a happy number.

67669036912368 is a `hidden beast` number, since 6 + 7 + 66 + 90 + 36 + 91 + 2 + 368 = 666.

It is a super-2 number, since 2×676690369123682 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 67669036912296 and 67669036912305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19404330 + ... + 22624457.

It is an arithmetic number, because the mean of its divisors is an integer number (2428591485792).

Almost surely, 267669036912368 is an apocalyptic number.

It is an amenable number.

67669036912368 is an abundant number, since it is smaller than the sum of its proper divisors (126618281950992).

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

67669036912368 is a wasteful number, since it uses less digits than its factorization.

67669036912368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42032531 (or 42032519 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 67669036912368 in words is "sixty-seven trillion, six hundred sixty-nine billion, thirty-six million, nine hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3727 7454 11181 14908 22362 29816 33543 44724 59632 67086 89448 100629 134172 178896 201258 268344 402516 536688 805032 1610064 42028787 84057574 126086361 168115148 252172722 336230296 378259083 504345444 672460592 756518166 1008690888 1134777249 1513036332 2017381776 2269554498 3026072664 4539108996 6052145328 9078217992 18156435984 156641289149 313282578298 469923867447 626565156596 939847734894 1253130313192 1409771602341 1879695469788 2506260626384 2819543204682 3759390939576 4229314807023 5639086409364 7518781879152 8458629614046 11278172818728 16917259228092 22556345637456 33834518456184 67669036912368