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1387375381161 = 327211250992
BaseRepresentation
bin10100001100000110000…
…001000100101010101001
311220122001120112201011100
4110030012001010222221
5140212321044144121
62541203525152013
7202143312110100
oct24140601045251
94818046481140
101387375381161
11495423263300
121a4a7125b609
13a0aa1236c03
144b213a77037
152614eb5c026
hex14306044aa9

1387375381161 has 81 divisors (see below), whose sum is σ = 2562861008253. Its totient is φ = 720573139440.

The previous prime is 1387375381123. The next prime is 1387375381201. The reversal of 1387375381161 is 1611835737831.

The square root of 1387375381161 is 1177869.

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

1387375381161 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 37 + 538 + 11 + 61 = 666.

It is not a de Polignac number, because 1387375381161 - 27 = 1387375381033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1387375381098 and 1387375381107.

It is not an unprimeable number, because it can be changed into a prime (1387375381261) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 272085190 + ... + 272090288.

Almost surely, 21387375381161 is an apocalyptic number.

1387375381161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1387375381161 is the 1177869-th square number.

1387375381161 is the 588935-th centered octagonal number.

It is an amenable number.

1387375381161 is a deficient number, since it is larger than the sum of its proper divisors (1175485627092).

1387375381161 is an frugal number, since it uses more digits than its factorization.

1387375381161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240 (or 5120 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 1387375381161 in words is "one trillion, three hundred eighty-seven billion, three hundred seventy-five million, three hundred eighty-one thousand, one hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5099 5929 7623 15297 17787 35693 45891 53361 56089 107079 168267 249851 321237 392623 504801 616979 749553 1177869 1850937 2248659 2748361 3533607 4318853 5552811 8245083 12956559 24735249 25999801 30231971 38869677 77999403 90695913 181998607 233998209 272087739 285997811 545995821 857993433 1273990249 1637987463 2001984677 2573980299 3145975921 3821970747 6005954031 9437927763 11465912241 14013892739 18017862093 22021831447 28313783289 42041678217 66065494341 126125034651 154152820129 198196483023 462458460387 1387375381161