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20527451217 = 33713232331559
BaseRepresentation
bin10011000111100010…
…000000110001010001
31221222121000120022000
4103013202000301101
5314020011414332
613232530304213
71324455312360
oct230742006121
957877016260
1020527451217
118784235a19
123b8a728069
131c21a51850
14dca3857d7
15802207b7c
hex4c7880c51

20527451217 has 128 divisors (see below), whose sum is σ = 39249100800. Its totient is φ = 10305833472.

The previous prime is 20527451213. The next prime is 20527451267. The reversal of 20527451217 is 71215472502.

20527451217 is a `hidden beast` number, since 2 + 0 + 527 + 4 + 5 + 121 + 7 = 666.

It is not a de Polignac number, because 20527451217 - 22 = 20527451213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20527451213) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 13166284 + ... + 13167842.

It is an arithmetic number, because the mean of its divisors is an integer number (306633600).

Almost surely, 220527451217 is an apocalyptic number.

20527451217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20527451217 is a deficient number, since it is larger than the sum of its proper divisors (18721649583).

20527451217 is a wasteful number, since it uses less digits than its factorization.

20527451217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 20527451217 in words is "twenty billion, five hundred twenty-seven million, four hundred fifty-one thousand, two hundred seventeen".

Divisors: 1 3 7 9 13 21 23 27 39 63 69 91 117 161 189 207 233 273 299 351 483 621 699 819 897 1449 1559 1631 2093 2097 2457 2691 3029 4347 4677 4893 5359 6279 6291 8073 9087 10913 14031 14679 16077 18837 20267 21203 27261 32739 35857 37513 42093 44037 48231 56511 60801 63609 69667 81783 98217 107571 112539 141869 144693 182403 190827 209001 250999 294651 322713 337617 363247 425607 466141 487669 547209 572481 627003 752997 968139 1012851 1089741 1276821 1398423 1463007 1881009 2258991 2542729 3262987 3269223 3830463 4195269 4389021 4722211 6776973 7628187 8354681 9788961 9807669 12585807 13167063 14166633 22884561 25064043 29366883 33055477 42499899 58482767 68653683 75192129 88100649 99166431 108610853 127499697 175448301 225576387 297499293 325832559 526344903 760275971 892497879 977497677 1579034709 2280827913 2932493031 6842483739 20527451217