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51086121841326 = 231113337853207127
BaseRepresentation
bin10111001110110011010100…
…01001010011001010101110
320200212210012200000112011210
423213121222021103022232
523143443334142410301
6300352350153455250
713521564502640505
oct1347315211231256
9220783180015153
1051086121841326
1115306558a70060
1258909baa11526
13226752920c430
14c8881d87383c
155d8d02048ad6
hex2e766a2532ae

51086121841326 has 128 divisors (see below), whose sum is σ = 120532429495296. Its totient is φ = 14230649825280.

The previous prime is 51086121841319. The next prime is 51086121841327. The reversal of 51086121841326 is 62314812168015.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51086121841327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246537975 + ... + 246745101.

It is an arithmetic number, because the mean of its divisors is an integer number (941659605432).

Almost surely, 251086121841326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51086121841326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60266214747648).

51086121841326 is an abundant number, since it is smaller than the sum of its proper divisors (69446307653970).

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

51086121841326 is a wasteful number, since it uses less digits than its factorization.

51086121841326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208346.

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 51086121841326 in words is "fifty-one trillion, eighty-six billion, one hundred twenty-one million, eight hundred forty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 337 429 674 853 858 1011 1706 2022 2559 3707 4381 5118 7414 8762 9383 11089 11121 13143 18766 22178 22242 26286 28149 33267 48191 56298 66534 96382 121979 144573 207127 243958 287461 289146 365937 414254 574922 621381 731874 862383 1242762 1724766 2278397 2692651 3162071 3736993 4556794 5385302 6324142 6835191 7473986 8077953 9486213 11210979 13670382 16155906 18972426 22421958 29619161 41106923 59238322 69801799 82213846 88857483 123320769 139603598 176679331 177714966 209405397 246641538 353358662 418810794 530037993 767819789 907423387 1060075986 1535639578 1814846774 1943472641 2296831303 2303459367 2722270161 3886945282 4593662606 4606918734 5444540322 5830417923 6890493909 9981657257 11660835846 13780987818 19963314514 25265144333 29944971771 50530288666 59540934547 59889943542 75795432999 119081869094 151590865998 178622803641 357245607282 654950280017 774032149111 1309900560034 1548064298222 1964850840051 2322096447333 3929701680102 4644192894666 8514353640221 17028707280442 25543060920663 51086121841326