Search a number
-
+
770432431033 = 6119365440621
BaseRepresentation
bin10110011011000010101…
…10011111001110111001
32201122121202112121110201
423031201112133032321
5100110321200243113
61345533132442201
7106443014420026
oct13154126371671
92648552477421
10770432431033
11277814027591
12105394319361
135786136c535
142940952454d
1515092635cdd
hexb36159f3b9

770432431033 has 8 divisors (see below), whose sum is σ = 787119801416. Its totient is φ = 753875942400.

The previous prime is 770432430983. The next prime is 770432431049. The reversal of 770432431033 is 330134234077.

It can be written as a sum of positive squares in 4 ways, for example, as 22643327529 + 747789103504 = 150477^2 + 864748^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 770432431033 - 229 = 769895560121 is a prime.

It is a super-3 number, since 3×7704324310333 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 770432430983 and 770432431001.

It is not an unprimeable number, because it can be changed into a prime (770432431063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32708538 + ... + 32732083.

It is an arithmetic number, because the mean of its divisors is an integer number (98389975177).

Almost surely, 2770432431033 is an apocalyptic number.

It is an amenable number.

770432431033 is a deficient number, since it is larger than the sum of its proper divisors (16687370383).

770432431033 is a wasteful number, since it uses less digits than its factorization.

770432431033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65440875.

The product of its (nonzero) digits is 127008, while the sum is 37.

The spelling of 770432431033 in words is "seven hundred seventy billion, four hundred thirty-two million, four hundred thirty-one thousand, thirty-three".

Divisors: 1 61 193 11773 65440621 3991877881 12630039853 770432431033