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50628249648 = 24322965918397
BaseRepresentation
bin101111001001101011…
…011100100000110000
311211200100222120010100
4233021223130200300
51312141312442043
635131443032400
73441421010244
oct571153344060
9154610876110
1050628249648
111a520366339
12998b36b700
134a0ac79992
142643d4c424
1514b4ae2cd3
hexbc9adc830

50628249648 has 120 divisors (see below), whose sum is σ = 146805001200. Its totient is φ = 16268539392.

The previous prime is 50628249563. The next prime is 50628249649. The reversal of 50628249648 is 84694282605.

50628249648 is a `hidden beast` number, since 5 + 0 + 628 + 2 + 4 + 9 + 6 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 50628249594 and 50628249603.

It is not an unprimeable number, because it can be changed into a prime (50628249649) 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 23 ways as a sum of consecutive naturals, for example, 2742786 + ... + 2761182.

It is an arithmetic number, because the mean of its divisors is an integer number (1223375010).

Almost surely, 250628249648 is an apocalyptic number.

50628249648 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50628249648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73402500600).

50628249648 is an abundant number, since it is smaller than the sum of its proper divisors (96176751552).

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

50628249648 is a wasteful number, since it uses less digits than its factorization.

50628249648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19099 (or 19090 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 50628249648 in words is "fifty billion, six hundred twenty-eight million, two hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 659 696 1044 1318 1392 1977 2088 2636 3954 4176 5272 5931 7908 10544 11862 15816 18397 19111 23724 31632 36794 38222 47448 55191 57333 73588 76444 94896 110382 114666 147176 152888 165573 171999 220764 229332 294352 305776 331146 343998 441528 458664 533513 662292 687996 883056 917328 1067026 1324584 1375992 1600539 2134052 2649168 2751984 3201078 4268104 4801617 6402156 8536208 9603234 12123623 12804312 19206468 24247246 25608624 36370869 38412936 48494492 72741738 76825872 96988984 109112607 145483476 193977968 218225214 290966952 351585067 436450428 581933904 703170134 872900856 1054755201 1406340268 1745801712 2109510402 2812680536 3164265603 4219020804 5625361072 6328531206 8438041608 12657062412 16876083216 25314124824 50628249648