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1086968886084 = 22364324492
BaseRepresentation
bin11111101000101000110…
…01001111001101000100
310211220122201201121000000
433310110121033031010
5120302103013323314
62151202511321300
7141350050041534
oct17642431171504
93756581647000
101086968886084
11389a87665264
121567b3820230
137b668131593
143a87695d4c4
151d41b955209
hexfd1464f344

1086968886084 has 189 divisors, whose sum is σ = 2926373936493. Its totient is φ = 353108657664.

The previous prime is 1086968886067. The next prime is 1086968886089. The reversal of 1086968886084 is 4806888696801.

The square root of 1086968886084 is 1042578.

It is a perfect power (a square), and thus also a powerful number.

1086968886084 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 9 + 6 + 8 + 8 + 8 + 608 + 4 = 666.

1086968886084 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 only one way, i.e., 664260860484 + 422708025600 = 815022^2 + 650160^2 .

It is not an unprimeable number, because it can be changed into a prime (1086968886089) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2420865892 + ... + 2420866340.

Almost surely, 21086968886084 is an apocalyptic number.

1086968886084 is the 1042578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086968886084

1086968886084 is an abundant number, since it is smaller than the sum of its proper divisors (1839405050409).

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

1086968886084 is an frugal number, since it uses more digits than its factorization.

1086968886084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 1086968886084 in words is "one trillion, eighty-six billion, nine hundred sixty-eight million, eight hundred eighty-six thousand, eighty-four".