Search a number
-
+
1026659986664 = 231384913116257
BaseRepresentation
bin11101111000010011011…
…01000010110011101000
310122010222200220001220112
432330021231002303220
5113310044424033124
62103350250313452
7134113406620454
oct16741155026350
93563880801815
101026659986664
11366449885524
12146b82428888
1375a766ab990
143799505b664
151ba8c03690e
hexef09b42ce8

1026659986664 has 32 divisors (see below), whose sum is σ = 2073105680520. Its totient is φ = 473833414656.

The previous prime is 1026659986631. The next prime is 1026659986711. The reversal of 1026659986664 is 4666899566201.

1026659986664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 330199636900 + 696460349764 = 574630^2 + 834542^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1026659986594 and 1026659986603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8772824 + ... + 8889080.

Almost surely, 21026659986664 is an apocalyptic number.

It is an amenable number.

1026659986664 is an abundant number, since it is smaller than the sum of its proper divisors (1046445693856).

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

1026659986664 is a wasteful number, since it uses less digits than its factorization.

1026659986664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201189 (or 201185 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 68.

The spelling of 1026659986664 in words is "one trillion, twenty-six billion, six hundred fifty-nine million, nine hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 84913 116257 169826 232514 339652 465028 679304 930056 1103869 1511341 2207738 3022682 4415476 6045364 8830952 12090728 9871730641 19743461282 39486922564 78973845128 128332498333 256664996666 513329993332 1026659986664