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1348949027566 = 271721019913331
BaseRepresentation
bin10011101000010011101…
…000001010101011101110
311202221212120120200201001
4103220103220022223232
5134100121422340231
62511410523110514
7166313133355510
oct23502350125356
94687776520631
101348949027566
114800a4617088
1219952837243a
139a2891c108a
144940a49dbb0
15251513bab61
hex13a13a0aaee

1348949027566 has 96 divisors (see below), whose sum is σ = 2484085008384. Its totient is φ = 538021440000.

The previous prime is 1348949027539. The next prime is 1348949027597. The reversal of 1348949027566 is 6657209498431.

It is a junction number, because it is equal to n+sod(n) for n = 1348949027498 and 1348949027507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404966521 + ... + 404969851.

It is an arithmetic number, because the mean of its divisors is an integer number (25875885504).

It is a 1-persistent number, because it is pandigital, but 2⋅1348949027566 = 2697898055132 is not.

Almost surely, 21348949027566 is an apocalyptic number.

1348949027566 is a deficient number, since it is larger than the sum of its proper divisors (1135135980818).

1348949027566 is a wasteful number, since it uses less digits than its factorization.

1348949027566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 1348949027566 in words is "one trillion, three hundred forty-eight billion, nine hundred forty-nine million, twenty-seven thousand, five hundred sixty-six".

Divisors: 1 2 7 14 17 34 101 119 202 238 289 578 707 991 1414 1717 1982 2023 3331 3434 4046 6662 6937 12019 13874 16847 23317 24038 29189 33694 46634 56627 58378 100091 113254 117929 200182 204323 235858 286399 336431 396389 408646 572798 672862 700637 792778 962659 1401274 1701547 1925318 2004793 2355017 3301021 3403094 4009586 4710034 5719327 6602042 6738613 11438654 11910829 13477226 23107147 23821658 28926299 40035289 46214294 56117357 57852598 80070578 97228559 112234714 194457118 202484093 333403121 392821499 404968186 666806242 680599913 785642998 953995069 1361199826 1907990138 2333821847 4667643694 5667853057 6677965483 11335706114 13355930966 39674971399 79349942798 96353501969 192707003938 674474513783 1348949027566