Search a number
-
+
742452254247 = 311415397106739
BaseRepresentation
bin10101100110111011001…
…10100101011000100111
32121222101202220100122210
422303131212211120213
544131020234113442
61325024452254503
7104432442014424
oct12633546453047
92558352810583
10742452254247
11266965a3a640
12bba85911433
13550225a2602
1427d13454d4b
15144a5ed819c
hexacdd9a5627

742452254247 has 64 divisors (see below), whose sum is σ = 1138774049280. Its totient is φ = 426268876800.

The previous prime is 742452254237. The next prime is 742452254249.

742452254247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 742452254247 - 210 = 742452253223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 742452254196 and 742452254205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742452254249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6902404 + ... + 7009142.

It is an arithmetic number, because the mean of its divisors is an integer number (17793344520).

Almost surely, 2742452254247 is an apocalyptic number.

742452254247 is a deficient number, since it is larger than the sum of its proper divisors (396321795033).

742452254247 is a wasteful number, since it uses less digits than its factorization.

742452254247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106944.

The product of its digits is 5017600, while the sum is 48.

It can be divided in two parts, 742452 and 254247, that added together give a palindrome (996699).

The spelling of 742452254247 in words is "seven hundred forty-two billion, four hundred fifty-two million, two hundred fifty-four thousand, two hundred forty-seven".

Divisors: 1 3 11 33 41 53 97 123 159 291 451 583 1067 1353 1749 2173 3201 3977 5141 6519 11931 15423 23903 43747 56551 71709 106739 131241 169653 210781 320217 632343 1174129 2318591 3522387 4376299 5657167 6955773 10353683 13128897 16971501 31061049 48139289 62228837 113890513 144417867 186686511 231943847 341671539 424501003 548745199 695831541 1273503009 1646235597 2551382317 4669511033 6036197189 7654146951 14008533099 18108591567 22498553159 67495659477 247484084749 742452254247