Search a number
-
+
5506156150128 = 2433192546926339
BaseRepresentation
bin101000000100000000001…
…1110110011110101110000
3201111101100111012200001000
41100020000132303311300
51210203101433301003
615413254311242000
71105543453023204
oct120100036636560
921441314180030
105506156150128
111833169668737
1274b168679300
1330c2c775110a
141506dc424b04
1598363a341a3
hex502007b3d70

5506156150128 has 160 divisors (see below), whose sum is σ = 16637819040000. Its totient is φ = 1738651868928.

The previous prime is 5506156150127. The next prime is 5506156150129. The reversal of 5506156150128 is 8210516516055.

5506156150128 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 1 + 5 + 615 + 0 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (5506156150127) and next prime (5506156150129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506156150127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209036383 + ... + 209062721.

It is an arithmetic number, because the mean of its divisors is an integer number (103986369000).

Almost surely, 25506156150128 is an apocalyptic number.

It is an amenable number.

5506156150128 is an abundant number, since it is smaller than the sum of its proper divisors (11131662889872).

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

5506156150128 is a wasteful number, since it uses less digits than its factorization.

5506156150128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51844 (or 51832 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 5506156150128 in words is "five trillion, five hundred six billion, one hundred fifty-six million, one hundred fifty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 25469 26339 50938 52678 76407 79017 101876 105356 152814 158034 203752 210712 229221 237051 305628 316068 407504 421424 458442 474102 483911 500441 611256 632136 687663 711153 916884 948204 967822 1000882 1222512 1264272 1375326 1422306 1451733 1501323 1833768 1896408 1935644 2001764 2750652 2844612 2903466 3002646 3667536 3792816 3871288 4003528 4355199 4503969 5501304 5689224 5806932 6005292 7742576 8007056 8710398 9007938 11002608 11378448 11613864 12010584 13065597 13511907 17420796 18015876 23227728 24021168 26131194 27023814 34841592 36031752 52262388 54047628 69683184 72063504 104524776 108095256 209049552 216190512 670827991 1341655982 2012483973 2683311964 4024967946 5366623928 6037451919 8049935892 10733247856 12074903838 12745731829 16099871784 18112355757 24149807676 25491463658 32199743568 36224711514 38237195487 48299615352 50982927316 72449423028 76474390974 96599230704 101965854632 114711586461 144898846056 152948781948 203931709264 229423172922 289797692112 305897563896 344134759383 458846345844 611795127792 688269518766 917692691688 1376539037532 1835385383376 2753078075064 5506156150128