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133456542435066 = 23192326133610097
BaseRepresentation
bin11110010110000011000101…
…110011100000011011111010
3122111112022122220102020112110
4132112003011303200123322
5114443022444330410231
61151501031134153150
740052626350504204
oct3626030563403372
9574468586366473
10133456542435066
1139583668aaa684
1212b749320527b6
135960b89a50c96
1424d548c837774
15106679e610046
hex7960c5ce06fa

133456542435066 has 96 divisors (see below), whose sum is σ = 294187174827840. Its totient is φ = 40246043346432.

The previous prime is 133456542435011. The next prime is 133456542435109. The reversal of 133456542435066 is 660534245654331.

It is a happy number.

133456542435066 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 133456542434997 and 133456542435015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35162530 + ... + 38772626.

It is an arithmetic number, because the mean of its divisors is an integer number (3064449737790).

Almost surely, 2133456542435066 is an apocalyptic number.

133456542435066 is an abundant number, since it is smaller than the sum of its proper divisors (160730632392774).

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

133456542435066 is a wasteful number, since it uses less digits than its factorization.

133456542435066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610780 (or 3610757 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 57.

The spelling of 133456542435066 in words is "one hundred thirty-three trillion, four hundred fifty-six billion, five hundred forty-two million, four hundred thirty-five thousand, sixty-six".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 437 529 613 874 1058 1226 1311 1587 1839 2622 3174 3678 10051 11647 14099 20102 23294 28198 30153 34941 42297 60306 69882 84594 267881 324277 535762 648554 803643 972831 1607286 1945662 3610097 6161263 7220194 10830291 12322526 18483789 21660582 36967578 68591843 83032231 137183686 166064462 205775529 249096693 411551058 498193386 1577612389 1909741313 2212989461 3155224778 3819482626 4425978922 4732837167 5729223939 6638968383 9465674334 11458447878 13277936766 36285084947 42046799759 50898757603 72570169894 84093599518 101797515206 108855254841 126140399277 152696272809 217710509682 252280798554 305392545618 967076394457 1170671424869 1934152788914 2341342849738 2901229183371 3512014274607 5802458366742 7024028549214 22242757072511 44485514145022 66728271217533 133456542435066