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1027662705169 = 1012100372
BaseRepresentation
bin11101111010001010111…
…10000111001000010001
310122020120120200110002221
432331011132013020101
5113314123123031134
62104033550141041
7134150303603152
oct16750536071021
93566516613087
101027662705169
11366913895801
121472021b1781
1375ba635b339
1437a4c2b5929
151baea0a35b4
hexef45787211

1027662705169 has 9 divisors (see below), whose sum is σ = 1038041746321. Its totient is φ = 1017386453200.

The previous prime is 1027662705127. The next prime is 1027662705191. The reversal of 1027662705169 is 9615072667201.

The square root of 1027662705169 is 1013737.

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

1027662705169 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 168867574225 + 858795130944 = 410935^2 + 926712^2 .

It is not a de Polignac number, because 1027662705169 - 211 = 1027662703121 is a prime.

It is a super-2 number, since 2×10276627051692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027662705269) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102382419 + ... + 102392455.

Almost surely, 21027662705169 is an apocalyptic number.

1027662705169 is the 1013737-th square number.

1027662705169 is the 506869-th centered octagonal number.

It is an amenable number.

1027662705169 is a deficient number, since it is larger than the sum of its proper divisors (10379041152).

1027662705169 is an frugal number, since it uses more digits than its factorization.

1027662705169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20276 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 1027662705169 in words is "one trillion, twenty-seven billion, six hundred sixty-two million, seven hundred five thousand, one hundred sixty-nine".

Divisors: 1 101 10037 10201 1013737 100741369 102387437 10174878269 1027662705169