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5144480649 = 3272112229421
BaseRepresentation
bin1001100101010001…
…01000101110001001
3111021112020200202100
410302220220232021
541013441340044
62210252024013
7241325235600
oct46250505611
914245220670
105144480649
1121aaa1a500
12bb6a62009
1363ca774b9
1436b350a37
15201995869
hex132a28b89

5144480649 has 108 divisors (see below), whose sum is σ = 9565554180. Its totient is φ = 2654467200.

The previous prime is 5144480611. The next prime is 5144480657. The reversal of 5144480649 is 9460844415.

It can be written as a sum of positive squares in 2 ways, for example, as 2070887049 + 3073593600 = 45507^2 + 55440^2 .

It is not a de Polignac number, because 5144480649 - 231 = 2996997001 is a prime.

It is a super-2 number, since 2×51444806492 = 52931362295870922402, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5144480849) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12219459 + ... + 12219879.

Almost surely, 25144480649 is an apocalyptic number.

It is an amenable number.

5144480649 is a deficient number, since it is larger than the sum of its proper divisors (4421073531).

5144480649 is a wasteful number, since it uses less digits than its factorization.

5144480649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5144480649 is about 71725.0350226474. The cubic root of 5144480649 is about 1726.2903625617.

The spelling of 5144480649 in words is "five billion, one hundred forty-four million, four hundred eighty thousand, six hundred forty-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 229 231 363 421 441 539 687 693 847 1089 1263 1603 1617 2061 2519 2541 2947 3789 4631 4809 4851 5929 7557 7623 8841 11221 13893 14427 17633 17787 20629 22671 26523 27709 32417 33663 41679 50941 52899 53361 61887 83127 96409 97251 100989 123431 152823 158697 185661 193963 226919 249381 289227 291753 356587 370293 458469 581889 674863 680757 867681 1060499 1069761 1110879 1357741 1745667 2024589 2042271 2496109 3181497 3209283 4073223 4724041 6073767 7423493 7488327 9544491 11665489 12219669 14172123 22270479 22464981 34996467 42516369 51964451 66811437 81658423 104989401 155893353 244975269 467680059 571608961 734925807 1714826883 5144480649