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133054361565356 = 2271123148312665123
BaseRepresentation
bin11110010000001100100001…
…111101001111100010101100
3122110002212120020011012201102
4132100030201331033202230
5114414430313030042411
61150552155130302232
740011601054511360
oct3620144175174254
9573085506135642
10133054361565356
1139439046424620
1212b0a9b0587978
135931c8464b8ba
1424bdc18b772a0
15105b0b1527d3b
hex790321f4f8ac

133054361565356 has 96 divisors (see below), whose sum is σ = 303126469890048. Its totient is φ = 49552036522560.

The previous prime is 133054361565347. The next prime is 133054361565413. The reversal of 133054361565356 is 653565163450331.

It is a happy number.

133054361565356 is digitally balanced in base 3, 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 31 ways as a sum of consecutive naturals, for example, 4173011 + ... + 16838133.

It is an arithmetic number, because the mean of its divisors is an integer number (3157567394688).

Almost surely, 2133054361565356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133054361565356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151563234945024).

133054361565356 is an abundant number, since it is smaller than the sum of its proper divisors (170072108324692).

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

133054361565356 is a wasteful number, since it uses less digits than its factorization.

133054361565356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666651 (or 12666649 counting only the distinct ones).

The product of its (nonzero) digits is 43740000, while the sum is 56.

The spelling of 133054361565356 in words is "one hundred thirty-three trillion, fifty-four billion, three hundred sixty-one million, five hundred sixty-five thousand, three hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1483 1771 2966 3542 5932 7084 10381 16313 20762 32626 34109 41524 65252 68218 114191 136436 228382 238763 375199 456764 477526 750398 955052 1500796 2626393 5252786 10505572 12665123 25330246 50660492 88655861 139316353 177311722 278632706 291297829 354623444 557265412 582595658 975214471 1165191316 1950428942 2039084803 3204276119 3900857884 4078169606 6408552238 8156339212 12817104476 18782377409 22429932833 37564754818 44859865666 75129509636 89719731332 131476641863 206606151499 262953283726 413212302998 431994680407 525906567452 826424605996 863989360814 1446243060493 1727978721628 2892486120986 3023962762849 4751941484477 5784972241972 6047925525698 9503882968954 12095851051396 19007765937908 33263590391339 66527180782678 133054361565356