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20530011744 = 25321112835051
BaseRepresentation
bin10011000111101011…
…110001111001100000
31221222202211122200100
4103013223301321200
5314021140333434
613233101222400
71324516135434
oct230753617140
957882748610
1020530011744
118785724760
123b8b561a00
131c2243a158
14dca8509c4
15802561699
hex4c7af1e60

20530011744 has 144 divisors (see below), whose sum is σ = 63751955904. Its totient is φ = 6215136000.

The previous prime is 20530011707. The next prime is 20530011787. The reversal of 20530011744 is 44711003502.

20530011744 is a `hidden beast` number, since 205 + 300 + 117 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4062019 + ... + 4067069.

It is an arithmetic number, because the mean of its divisors is an integer number (442721916).

Almost surely, 220530011744 is an apocalyptic number.

20530011744 is a gapful number since it is divisible by the number (24) 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 20530011744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31875977952).

20530011744 is an abundant number, since it is smaller than the sum of its proper divisors (43221944160).

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

20530011744 is a wasteful number, since it uses less digits than its factorization.

20530011744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20530011744 in words is "twenty billion, five hundred thirty million, eleven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1283 1584 2566 3168 3849 5051 5132 7698 10102 10264 11547 14113 15153 15396 20204 20528 23094 28226 30306 30792 40408 41056 42339 45459 46188 55561 56452 60612 61584 80816 84678 90918 92376 111122 112904 121224 123168 127017 161632 166683 169356 181836 184752 222244 225808 242448 254034 333366 338712 363672 369504 444488 451616 484896 500049 508068 666732 677424 727344 888976 1000098 1016136 1333464 1354848 1454688 1777952 2000196 2032272 2666928 4000392 4064544 5333856 6480433 8000784 12960866 16001568 19441299 25921732 38882598 51843464 58323897 71284763 77765196 103686928 116647794 142569526 155530392 207373856 213854289 233295588 285139052 311060784 427708578 466591176 570278104 622121568 641562867 855417156 933182352 1140556208 1283125734 1710834312 1866364704 2281112416 2566251468 3421668624 5132502936 6843337248 10265005872 20530011744