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63727242144 = 2531934938181
BaseRepresentation
bin111011010110011100…
…001000101110100000
320002111021001022202120
4323112130020232200
52021003133222034
645135331544240
74414135422606
oct732634105640
9202437038676
1063727242144
1125032404275
121042615b080
1360179cb707
1431278c5876
1519cea9ac49
hexed6708ba0

63727242144 has 48 divisors (see below), whose sum is σ = 176088437280. Its totient is φ = 20124391680.

The previous prime is 63727242109. The next prime is 63727242193. The reversal of 63727242144 is 44124272736.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×637272421442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63727242096 and 63727242105.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17467267 + ... + 17470914.

It is an arithmetic number, because the mean of its divisors is an integer number (3668509110).

Almost surely, 263727242144 is an apocalyptic number.

It is an amenable number.

63727242144 is an abundant number, since it is smaller than the sum of its proper divisors (112361195136).

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

63727242144 is a wasteful number, since it uses less digits than its factorization.

63727242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34938213 (or 34938205 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The spelling of 63727242144 in words is "sixty-three billion, seven hundred twenty-seven million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 34938181 69876362 104814543 139752724 209629086 279505448 419258172 559010896 663825439 838516344 1118021792 1327650878 1677032688 1991476317 2655301756 3354065376 3982952634 5310603512 7965905268 10621207024 15931810536 21242414048 31863621072 63727242144