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1020568693825 = 52296123076737
BaseRepresentation
bin11101101100111101010…
…00100110110001000001
310121120021012001100000001
432312132220212301001
5113210111041200300
62100502013000001
7133506433523302
oct16663650466101
93546235040001
101020568693825
1136390347000a
12145962483001
137531572a6a5
14375780867a9
151b8323b916a
hexed9ea26c41

1020568693825 has 24 divisors (see below), whose sum is σ = 1330604713080. Its totient is φ = 775378329600.

The previous prime is 1020568693817. The next prime is 1020568693847. The reversal of 1020568693825 is 5283968650201.

1020568693825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 10102322+1.

It can be written as a sum of positive squares in 12 ways, for example, as 763309752976 + 257258940849 = 873676^2 + 507207^2 .

It is not a de Polignac number, because 1020568693825 - 23 = 1020568693817 is a prime.

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, 11494144 + ... + 11582593.

It is an arithmetic number, because the mean of its divisors is an integer number (55441863045).

Almost surely, 21020568693825 is an apocalyptic number.

It is an amenable number.

1020568693825 is a deficient number, since it is larger than the sum of its proper divisors (310036019255).

1020568693825 is a wasteful number, since it uses less digits than its factorization.

1020568693825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23076837 (or 23076832 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 1020568693825 in words is "one trillion, twenty billion, five hundred sixty-eight million, six hundred ninety-three thousand, eight hundred twenty-five".

Divisors: 1 5 25 29 61 145 305 725 1525 1769 8845 44225 23076737 115383685 576918425 669225373 1407680957 3346126865 7038404785 16730634325 35192023925 40822747753 204113738765 1020568693825