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63150457050 = 232524110133889
BaseRepresentation
bin111010110100000011…
…111000000011011010
320001000001201121100200
4322310003320003122
52013313004111200
645002205243030
74363633012452
oct726403700332
9201001647320
1063150457050
112486687207a
12102a4b63476
135c55370665
1430b1062d62
151999116800
hexeb40f80da

63150457050 has 144 divisors (see below), whose sum is σ = 175528374840. Its totient is φ = 16266240000.

The previous prime is 63150457049. The next prime is 63150457057. The reversal of 63150457050 is 5075405136.

63150457050 is a `hidden beast` number, since 6 + 3 + 150 + 457 + 0 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17007550569 + 46142906481 = 130413^2 + 214809^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63150456996 and 63150457014.

It is not an unprimeable number, because it can be changed into a prime (63150457057) 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 71 ways as a sum of consecutive naturals, for example, 1846506 + ... + 1880394.

Almost surely, 263150457050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63150457050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87764187420).

63150457050 is an abundant number, since it is smaller than the sum of its proper divisors (112377917790).

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

63150457050 is a wasteful number, since it uses less digits than its factorization.

63150457050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34049 (or 34041 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 63150457050 in words is "sixty-three billion, one hundred fifty million, four hundred fifty-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 101 123 150 202 205 225 246 303 369 410 450 505 606 615 738 909 1010 1025 1230 1515 1818 1845 2050 2525 3030 3075 3690 4141 4545 5050 6150 7575 8282 9090 9225 12423 15150 18450 20705 22725 24846 33889 37269 41410 45450 62115 67778 74538 101667 103525 124230 169445 186345 203334 207050 305001 310575 338890 372690 508335 610002 621150 847225 931725 1016670 1389449 1525005 1694450 1863450 2541675 2778898 3050010 3422789 4168347 5083350 6845578 6947245 7625025 8336694 10268367 12505041 13894490 15250050 17113945 20536734 20841735 25010082 30805101 34227890 34736225 41683470 51341835 61610202 62525205 69472450 85569725 102683670 104208675 125050410 140334349 154025505 171139450 208417350 256709175 280668698 308051010 312626025 421003047 513418350 625252050 701671745 770127525 842006094 1263009141 1403343490 1540255050 2105015235 2526018282 3508358725 4210030470 6315045705 7016717450 10525076175 12630091410 21050152350 31575228525 63150457050