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1345505501106 = 234131737581853
BaseRepresentation
bin10011100101000110011…
…000001001111110110010
311202121222120222102110000
4103211012120021332302
5134021043402013411
62510041112250430
7166131611024664
oct23450630117662
94677876872400
101345505501106
11479697861748
121989270a0a16
1399b5a968560
14491a1002534
1524eede16956
hex13946609fb2

1345505501106 has 80 divisors (see below), whose sum is σ = 3437837676504. Its totient is φ = 389648641536.

The previous prime is 1345505501077. The next prime is 1345505501107. The reversal of 1345505501106 is 6011055055431.

1345505501106 is a `hidden beast` number, since 1 + 3 + 45 + 5 + 0 + 5 + 501 + 106 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1023352768881 + 322152732225 = 1011609^2 + 567585^2 .

It is not an unprimeable number, because it can be changed into a prime (1345505501107) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18755125 + ... + 18826728.

Almost surely, 21345505501106 is an apocalyptic number.

1345505501106 is an abundant number, since it is smaller than the sum of its proper divisors (2092332175398).

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

1345505501106 is a wasteful number, since it uses less digits than its factorization.

1345505501106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37581897 (or 37581888 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 1345505501106 in words is "one trillion, three hundred forty-five billion, five hundred five million, five hundred one thousand, one hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 442 459 663 702 918 1053 1326 1377 1989 2106 2754 3978 5967 11934 17901 35802 37581853 75163706 112745559 225491118 338236677 488564089 638891501 676473354 977128178 1014710031 1277783002 1465692267 1916674503 2029420062 2931384534 3044130093 3833349006 4397076801 5750023509 6088260186 8305589513 8794153602 11500047018 13191230403 16611179026 17250070527 24916768539 26382460806 34500141054 39573691209 49833537078 51750211581 74750305617 79147382418 103500423162 149500611234 224250916851 448501833702 672752750553 1345505501106