Search a number
-
+
511004443145 = 5723173921667
BaseRepresentation
bin1110110111110100011…
…11010000001000001001
31210211222210000100022212
413123322033100020021
531333014114140040
61030430250354505
751630111046100
oct7337217201011
91724883010285
10511004443145
11187796760509
128305242ba35
1339258c6c8b1
141aa3892d037
15d45bc9dd65
hex76fa3d0209

511004443145 has 48 divisors (see below), whose sum is σ = 746418359808. Its totient is φ = 334454158080.

The previous prime is 511004443141. The next prime is 511004443217. The reversal of 511004443145 is 541344400115.

It is not a de Polignac number, because 511004443145 - 22 = 511004443141 is a prime.

It is a super-2 number, since 2×5110044431452 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (511004443141) 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 47 ways as a sum of consecutive naturals, for example, 93602 + ... + 1015268.

It is an arithmetic number, because the mean of its divisors is an integer number (15550382496).

Almost surely, 2511004443145 is an apocalyptic number.

It is an amenable number.

511004443145 is a deficient number, since it is larger than the sum of its proper divisors (235413916663).

511004443145 is a wasteful number, since it uses less digits than its factorization.

511004443145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921790 (or 921783 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 511004443145 in words is "five hundred eleven billion, four million, four hundred forty-three thousand, one hundred forty-five".

Divisors: 1 5 7 31 35 49 73 155 217 245 365 511 1085 1519 2263 2555 3577 7595 11315 15841 17885 79205 110887 554435 921667 4608335 6451669 28571677 32258345 45161683 67281691 142858385 200001739 225808415 336408455 470971837 1000008695 1400012173 2085732421 2354859185 3296802859 7000060865 10428662105 14600126947 16484014295 73000634735 102200888629 511004443145