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742465564247 = 112343611139901
BaseRepresentation
bin10101100110111100110…
…01010110111001010111
32121222102200221120112202
422303132121112321113
544131032141023442
61325030045435115
7104432663111201
oct12633631267127
92558380846482
10742465564247
11266972500640
12bba8a26ba9b
1355025282954
1427d1511b771
15144a7266c32
hexacde656e57

742465564247 has 64 divisors (see below), whose sum is σ = 886879521792. Its totient is φ = 614718720000.

The previous prime is 742465564231. The next prime is 742465564261.

742465564247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 742465564247 - 24 = 742465564231 is a prime.

It is a super-2 number, since 2×7424655642472 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 742465564192 and 742465564201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742465564207) 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, 74983997 + ... + 74993897.

It is an arithmetic number, because the mean of its divisors is an integer number (13857492528).

Almost surely, 2742465564247 is an apocalyptic number.

742465564247 is a deficient number, since it is larger than the sum of its proper divisors (144413957545).

742465564247 is a wasteful number, since it uses less digits than its factorization.

742465564247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10152.

The product of its digits is 45158400, while the sum is 56.

The spelling of 742465564247 in words is "seven hundred forty-two billion, four hundred sixty-five million, five hundred sixty-four thousand, two hundred forty-seven".

Divisors: 1 11 23 43 61 113 253 473 671 989 1243 1403 2599 2623 4859 6893 9901 10879 15433 28589 28853 53449 60329 75823 108911 111757 158539 227723 296399 425743 603961 663619 1118813 1229327 1743929 2504953 3260389 4683173 6643571 6817177 9792089 12306943 13891103 25732699 25970323 48108959 68247593 74988947 107712979 152802133 283059689 285673553 529198549 597317429 750723523 1106506057 1569694639 2934646499 6570491719 12171566627 17266641029 32281111489 67496869477 742465564247