Search a number
-
+
45335243136 = 273176944737
BaseRepresentation
bin101010001110001100…
…001110100110000000
311100000111020222012010
4222032030032212000
51220321310240021
632454323332520
73163310131341
oct521614164600
9140014228163
1045335243136
1118254621197
128952821140
1343764cb571
1422a0db80c8
1512a50ae976
hexa8e30e980

45335243136 has 64 divisors (see below), whose sum is σ = 127505389680. Its totient is φ = 14222819328.

The previous prime is 45335243131. The next prime is 45335243137. The reversal of 45335243136 is 63134253354.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×453352431362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45335243094 and 45335243103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45335243131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3465841 + ... + 3478896.

Almost surely, 245335243136 is an apocalyptic number.

It is an amenable number.

45335243136 is an abundant number, since it is smaller than the sum of its proper divisors (82170146544).

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

45335243136 is a wasteful number, since it uses less digits than its factorization.

45335243136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944771 (or 6944759 counting only the distinct ones).

The product of its digits is 388800, while the sum is 39.

The spelling of 45335243136 in words is "forty-five billion, three hundred thirty-five million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 6944737 13889474 20834211 27778948 41668422 55557896 83336844 111115792 118060529 166673688 222231584 236121058 333347376 354181587 444463168 472242116 666694752 708363174 888926336 944484232 1333389504 1416726348 1888968464 2666779008 2833452696 3777936928 5666905392 7555873856 11333810784 15111747712 22667621568 45335243136