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1345494092690 = 2511241101268529
BaseRepresentation
bin10011100101000101101…
…100101000101110010010
311202121221210111211001002
4103211011230220232102
5134021032441431230
62510040023542002
7166131412041206
oct23450554505622
94677853454032
101345494092690
1147969137a400
121989232ba902
1399b584a2907
144919d6b2b06
1524eece11545
hex13945b28b92

1345494092690 has 96 divisors (see below), whose sum is σ = 2754015752880. Its totient is φ = 472609280000.

The previous prime is 1345494092687. The next prime is 1345494092693. The reversal of 1345494092690 is 962904945431.

It is an interprime number because it is at equal distance from previous prime (1345494092687) and next prime (1345494092693).

It can be written as a sum of positive squares in 8 ways, for example, as 453094573129 + 892399519561 = 673123^2 + 944669^2 .

It is a super-2 number, since 2×13454940926902 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1345494092693) 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, 4876346 + ... + 5144874.

Almost surely, 21345494092690 is an apocalyptic number.

1345494092690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1345494092690 is an abundant number, since it is smaller than the sum of its proper divisors (1408521660190).

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

1345494092690 is a wasteful number, since it uses less digits than its factorization.

1345494092690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268700 (or 268689 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 56.

The spelling of 1345494092690 in words is "one trillion, three hundred forty-five billion, four hundred ninety-four million, ninety-two thousand, six hundred ninety".

Divisors: 1 2 5 10 11 22 41 55 82 101 110 121 202 205 242 410 451 505 605 902 1010 1111 1210 2222 2255 4141 4510 4961 5555 8282 9922 11110 12221 20705 24442 24805 41410 45551 49610 61105 91102 122210 227755 268529 455510 501061 537058 1002122 1342645 2505305 2685290 2953819 5010610 5907638 11009689 14769095 22019378 27121429 29538190 32492009 54242858 55048445 64984018 110096890 121106579 135607145 162460045 242213158 271214290 298335719 324920090 596671438 605532895 1111978589 1211065790 1332172369 1491678595 2223957178 2664344738 2983357190 3281692909 5559892945 6563385818 6660861845 11119785890 12231764479 13321723690 16408464545 24463528958 32816929090 61158822395 122317644790 134549409269 269098818538 672747046345 1345494092690