Search a number
-
+
919406746449 = 3243274332
BaseRepresentation
bin11010110000100001110…
…10011001101101010001
310020220011000222221121100
431120100322121231101
5110030421111341244
61542211501215013
7123265520254152
oct15302072315521
93226130887540
10919406746449
11324a11159724
1212a22b561469
136891328ab29
14326dc99d929
1518db115db69
hexd610e99b51

919406746449 has 27 divisors (see below), whose sum is σ = 1359817618107. Its totient is φ = 598602918816.

The previous prime is 919406746439. The next prime is 919406746483. The reversal of 919406746449 is 944647604919.

The square root of 919406746449 is 958857.

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

919406746449 is a `hidden beast` number, since 9 + 1 + 94 + 0 + 67 + 46 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54819198225 + 864587548224 = 234135^2 + 929832^2 .

It is not a de Polignac number, because 919406746449 - 221 = 919404649297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (919406746429) 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 26 ways as a sum of consecutive naturals, for example, 123688837 + ... + 123696269.

Almost surely, 2919406746449 is an apocalyptic number.

919406746449 is the 958857-th square number.

919406746449 is the 479429-th centered octagonal number.

It is an amenable number.

919406746449 is a deficient number, since it is larger than the sum of its proper divisors (440410871658).

919406746449 is an frugal number, since it uses more digits than its factorization.

919406746449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14958 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 919406746449 in words is "nine hundred nineteen billion, four hundred six million, seven hundred forty-six thousand, four hundred forty-nine".

Divisors: 1 3 9 43 129 387 1849 5547 7433 16641 22299 66897 319619 958857 2876571 13743617 41230851 55249489 123692553 165748467 497245401 2375728027 7127184081 21381552243 102156305161 306468915483 919406746449