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1064334764142 = 2321355781110069
BaseRepresentation
bin11110111110011110100…
…10111010100001101110
310202202020022122001202100
433133033102322201232
5114414224144423032
62132540523435530
7136616131140036
oct17371722724156
93682208561670
101064334764142
11380422255461
12152337685ba6
137949bac7810
143972a8b28c6
151ca4481897c
hexf7cf4ba86e

1064334764142 has 96 divisors (see below), whose sum is σ = 2491221489120. Its totient is φ = 326464162560.

The previous prime is 1064334764123. The next prime is 1064334764149. The reversal of 1064334764142 is 2414674334601.

1064334764142 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 33 + 476 + 4 + 142 = 666.

It is a super-2 number, since 2×10643347641422 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064334764149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105699084 + ... + 105709152.

It is an arithmetic number, because the mean of its divisors is an integer number (25950223845).

Almost surely, 21064334764142 is an apocalyptic number.

1064334764142 is an abundant number, since it is smaller than the sum of its proper divisors (1426886724978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1064334764142 is a wasteful number, since it uses less digits than its factorization.

1064334764142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11458 (or 11455 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 1064334764142 in words is "one trillion, sixty-four billion, three hundred thirty-four million, seven hundred sixty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 557 811 1114 1622 1671 2433 3342 4866 5013 7241 7299 10026 10069 10543 14482 14598 20138 21086 21723 30207 31629 43446 60414 63258 65169 90621 94887 130338 130897 181242 189774 261794 392691 451727 785382 903454 1178073 1355181 2356146 2710362 4065543 5608433 5872451 8131086 8165959 11216866 11744902 16331918 16825299 17617353 24497877 33650598 35234706 48995754 50475897 52852059 72909629 73493631 100951794 105704118 106157467 145819258 146987262 212314934 218728887 318472401 437457774 636944802 656186661 955417203 1312373322 1910834406 4548439163 9096878326 13645317489 27290634978 40935952467 59129709119 81871904934 118259418238 177389127357 354778254714 532167382071 1064334764142