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20705006516 = 22316711932089
BaseRepresentation
bin10011010010000111…
…010101001110110100
31222102222010022101012
4103102013111032310
5314400440202031
613302312051352
71332042436325
oct232207251664
958388108335
1020705006516
118865488937
12401a093b58
131c4c77aa5c
141005ba444c
15812acbb2b
hex4d21d53b4

20705006516 has 48 divisors (see below), whose sum is σ = 38010846720. Its totient is φ = 9856028160.

The previous prime is 20705006513. The next prime is 20705006551. The reversal of 20705006516 is 61560050702.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20705006513) 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 15 ways as a sum of consecutive naturals, for example, 9910400 + ... + 9912488.

It is an arithmetic number, because the mean of its divisors is an integer number (791892640).

Almost surely, 220705006516 is an apocalyptic number.

It is an amenable number.

20705006516 is a deficient number, since it is larger than the sum of its proper divisors (17305840204).

20705006516 is a wasteful number, since it uses less digits than its factorization.

20705006516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 20705006516 in words is "twenty billion, seven hundred five million, six thousand, five hundred sixteen".

Divisors: 1 2 4 31 62 67 124 134 268 1193 2077 2089 2386 4154 4178 4772 8308 8356 36983 64759 73966 79931 129518 139963 147932 159862 259036 279926 319724 559852 2477861 2492177 4338853 4955722 4984354 8677706 9911444 9968708 17355412 77257487 154514974 166975859 309029948 333951718 667903436 5176251629 10352503258 20705006516