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49813307424 = 253429662693
BaseRepresentation
bin101110011001000110…
…101100000000100000
311202120120112012120000
4232121012230000200
51304004201314144
634514532020000
73412264061346
oct563106540040
9152516465500
1049813307424
111a14234a171
1297a2461600
13490b19484a
1425a7a13996
1514682b8769
hexb991ac020

49813307424 has 120 divisors (see below), whose sum is σ = 151551490860. Its totient is φ = 16031844864.

The previous prime is 49813307413. The next prime is 49813307449. The reversal of 49813307424 is 42470331894.

49813307424 is a `hidden beast` number, since 4 + 98 + 133 + 0 + 7 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47987283600 + 1826023824 = 219060^2 + 42732^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49813307424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 256179 + ... + 406514.

Almost surely, 249813307424 is an apocalyptic number.

It is an amenable number.

49813307424 is an abundant number, since it is smaller than the sum of its proper divisors (101738183436).

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

49813307424 is a wasteful number, since it uses less digits than its factorization.

49813307424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662744 (or 662727 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 49813307424 in words is "forty-nine billion, eight hundred thirteen million, three hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3132 4176 4698 6264 8352 9396 12528 18792 25056 37584 75168 662693 1325386 1988079 2650772 3976158 5301544 5964237 7952316 10603088 11928474 15904632 17892711 19218097 21206176 23856948 31809264 35785422 38436194 47713896 53678133 57654291 63618528 71570844 76872388 95427792 107356266 115308582 143141688 153744776 172962873 190855584 214712532 230617164 286283376 307489552 345925746 429425064 461234328 518888619 572566752 614979104 691851492 858850128 922468656 1037777238 1383702984 1556665857 1717700256 1844937312 2075554476 2767405968 3113331714 4151108952 5534811936 6226663428 8302217904 12453326856 16604435808 24906653712 49813307424