Search a number
-
+
1766490860836 = 22132172312972
BaseRepresentation
bin11001101101001011000…
…011110110110100100100
320020212121210012112010101
4121231023003312310210
5212420233130021321
63431303101433444
7241424201366542
oct31551303666444
96225553175111
101766490860836
1162118a047449
1224643626b884
13ca76bb63a00
14616da2a6d92
1530e3cd19791
hex19b4b0f6d24

1766490860836 has 243 divisors, whose sum is σ = 3712617843417. Its totient is φ = 734935818240.

The previous prime is 1766490860803. The next prime is 1766490860837. The reversal of 1766490860836 is 6380680946671.

The square root of 1766490860836 is 1329094.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1137870224100 + 628620636736 = 1066710^2 + 792856^2 .

It is a super-2 number, since 2×17664908608362 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1766490860837) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18211245940 + ... + 18211246036.

Almost surely, 21766490860836 is an apocalyptic number.

1766490860836 is the 1329094-th square number.

It is an amenable number.

1766490860836 is an abundant number, since it is smaller than the sum of its proper divisors (1946126982581).

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

1766490860836 is a wasteful number, since it uses less digits than its factorization.

1766490860836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

Multiplying 1766490860836 by its sum of digits (64), we get a square (113055415093504 = 106327522).

The spelling of 1766490860836 in words is "one trillion, seven hundred sixty-six billion, four hundred ninety million, eight hundred sixty thousand, eight hundred thirty-six".