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5605666641 = 36472592
BaseRepresentation
bin1010011100001111…
…11010111101010001
3112110200001101000000
411032013322331101
542440022313031
62324124520213
7255625244301
oct51607727521
915420041000
105605666641
112417286353
1211053b0069
136b448c813
143b26c1601
1522c1e33e6
hex14e1faf51

5605666641 has 63 divisors (see below), whose sum is σ = 8735296441. Its totient is φ = 3595604904.

The previous prime is 5605666639. The next prime is 5605666687. The reversal of 5605666641 is 1466665065.

The square root of 5605666641 is 74871.

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

It is not a de Polignac number, because 5605666641 - 21 = 5605666639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5605666601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 95011270 + ... + 95011328.

Almost surely, 25605666641 is an apocalyptic number.

5605666641 is the 74871-st square number.

5605666641 is the 37436-th centered octagonal number.

It is an amenable number.

5605666641 is a deficient number, since it is larger than the sum of its proper divisors (3129629800).

5605666641 is an frugal number, since it uses more digits than its factorization.

5605666641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The cubic root of 5605666641 is about 1776.4067817079.

The spelling of 5605666641 in words is "five billion, six hundred five million, six hundred sixty-six thousand, six hundred forty-one".

Divisors: 1 3 9 27 47 59 81 141 177 243 423 531 729 1269 1593 2209 2773 3481 3807 4779 6627 8319 10443 11421 14337 19881 24957 31329 34263 43011 59643 74871 93987 130331 163607 178929 224613 281961 390993 490821 536787 673839 845883 1172979 1472463 1610361 2021517 2537649 3518937 4417389 7689529 10556811 13252167 23068587 31670433 39756501 69205761 95011299 119269503 207617283 622851849 1868555547 5605666641