Search a number
-
+
31774132009 = 39724492
BaseRepresentation
bin11101100101111000…
…101100011100101001
310001000101122010222001
4131211320230130221
51010033134211014
622332525531001
72203251444244
oct354570543451
9101011563861
1031774132009
111252573a734
1261a9113a61
132cc4ac8b59
141775d0a25b
15c5e772974
hex765e2c729

31774132009 has 9 divisors (see below), whose sum is σ = 31925472357. Its totient is φ = 31623508224.

The previous prime is 31774131959. The next prime is 31774132051. The reversal of 31774132009 is 90023147713.

It is a happy number.

The square root of 31774132009 is 178253.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2523555225 + 29250576784 = 50235^2 + 171028^2 .

It is not a de Polignac number, because 31774132009 - 27 = 31774131881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31774132109) 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 8 ways as a sum of consecutive naturals, for example, 70766217 + ... + 70766665.

Almost surely, 231774132009 is an apocalyptic number.

31774132009 is the 178253-rd square number.

31774132009 is the 89127-th centered octagonal number.

It is an amenable number.

31774132009 is a deficient number, since it is larger than the sum of its proper divisors (151340348).

31774132009 is an frugal number, since it uses more digits than its factorization.

31774132009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 31774132009 in words is "thirty-one billion, seven hundred seventy-four million, one hundred thirty-two thousand, nine".

Divisors: 1 397 449 157609 178253 201601 70766441 80035597 31774132009