Search a number
-
+
1377642656 = 25133311641
BaseRepresentation
bin101001000011101…
…0010100010100000
310120000021111110002
41102013102202200
510310134031111
6344411355132
746065524615
oct12207224240
93500244402
101377642656
11647709355
12325452aa8
1318c551390
14d0d7250c
1580e2a63b
hex521d28a0

1377642656 has 24 divisors (see below), whose sum is σ = 2920868244. Its totient is φ = 635834880.

The previous prime is 1377642653. The next prime is 1377642689. The reversal of 1377642656 is 6562467731.

It can be written as a sum of positive squares in 2 ways, for example, as 1275632656 + 102010000 = 35716^2 + 10100^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1377642656.

It is not an unprimeable number, because it can be changed into a prime (1377642653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1655405 + ... + 1656236.

Almost surely, 21377642656 is an apocalyptic number.

1377642656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1377642656 is an abundant number, since it is smaller than the sum of its proper divisors (1543225588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1377642656 is a wasteful number, since it uses less digits than its factorization.

1377642656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311664 (or 3311656 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 47.

The square root of 1377642656 is about 37116.6088968268. The cubic root of 1377642656 is about 1112.7019789991.

The spelling of 1377642656 in words is "one billion, three hundred seventy-seven million, six hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 3311641 6623282 13246564 26493128 43051333 52986256 86102666 105972512 172205332 344410664 688821328 1377642656