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11743840161 = 34120412
BaseRepresentation
bin10101110111111110…
…01100011110100001
31010022110002220010000
422323333030132201
5143022410341121
65221155130213
7564010665024
oct127377143641
933273086100
1011743840161
114a87100a29
122338ba3969
131152076461
147d59bb1bb
1548b021526
hex2bbfcc7a1

11743840161 has 15 divisors (see below), whose sum is σ = 17544724483. Its totient is φ = 7828576560.

The previous prime is 11743840153. The next prime is 11743840183. The reversal of 11743840161 is 16104834711.

The square root of 11743840161 is 108369.

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

11743840161 is a `hidden beast` number, since 117 + 4 + 384 + 0 + 161 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7450969761 + 4292870400 = 86319^2 + 65520^2 .

It is not a de Polignac number, because 11743840161 - 23 = 11743840153 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11743840111) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 969301 + ... + 981341.

Almost surely, 211743840161 is an apocalyptic number.

11743840161 is the 108369-th square number.

11743840161 is the 54185-th centered octagonal number.

It is an amenable number.

11743840161 is a deficient number, since it is larger than the sum of its proper divisors (5800884322).

11743840161 is an frugal number, since it uses more digits than its factorization.

11743840161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24094 (or 12044 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 11743840161 by its sum of digits (36), we get a square (422778245796 = 6502142).

The spelling of 11743840161 in words is "eleven billion, seven hundred forty-three million, eight hundred forty thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 12041 36123 108369 325107 975321 144985681 434957043 1304871129 3914613387 11743840161