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189426023361 = 3437213072
BaseRepresentation
bin1011000001101010101…
…0111011101111000001
3200002221102111000110000
42300122222323233001
511100421030221421
6223004321030213
716454103426531
oct2603252735701
9602842430400
10189426023361
1173376063033
1230866485369
1314b2a748073
14924da2b4c1
154dd9ed9226
hex2c1aabbbc1

189426023361 has 45 divisors (see below), whose sum is σ = 291046950579. Its totient is φ = 122776924176.

The previous prime is 189426023359. The next prime is 189426023363. The reversal of 189426023361 is 163320624981.

The square root of 189426023361 is 435231.

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

189426023361 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 2 + 602 + 3 + 36 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (189426023359) and next prime (189426023363).

It can be written as a sum of positive squares in only one way, i.e., 169501007025 + 19925016336 = 411705^2 + 141156^2 .

It is not a de Polignac number, because 189426023361 - 21 = 189426023359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (189426023363) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 144931270 + ... + 144932576.

Almost surely, 2189426023361 is an apocalyptic number.

189426023361 is the 435231-st square number.

189426023361 is the 217616-th centered octagonal number.

It is an amenable number.

189426023361 is a deficient number, since it is larger than the sum of its proper divisors (101620927218).

189426023361 is an frugal number, since it uses more digits than its factorization.

189426023361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 189426023361 in words is "one hundred eighty-nine billion, four hundred twenty-six million, twenty-three thousand, three hundred sixty-one".

Divisors: 1 3 9 27 37 81 111 333 999 1307 1369 2997 3921 4107 11763 12321 35289 36963 48359 105867 110889 145077 435231 1305693 1708249 1789283 3917079 5124747 5367849 15374241 16103547 46122723 48310641 63205213 138368169 144931923 189615639 568846917 1706540751 2338592881 5119622253 7015778643 21047335929 63142007787 189426023361