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1337165661 = 313972831249
BaseRepresentation
bin100111110110011…
…1000011101011101
310110012010001110010
41033230320131131
510214303300121
6340404033433
745064502106
oct11754703535
93405101403
101337165661
11626882397
12313992879
1318404b6b0
14c98373ad
157c5d2376
hex4fb3875d

1337165661 has 32 divisors (see below), whose sum is σ = 1948240000. Its totient is φ = 810860544.

The previous prime is 1337165639. The next prime is 1337165693. The reversal of 1337165661 is 1665617331.

It is a happy number.

It is not a de Polignac number, because 1337165661 - 25 = 1337165629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337165161) 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 31 ways as a sum of consecutive naturals, for example, 1069965 + ... + 1071213.

It is an arithmetic number, because the mean of its divisors is an integer number (60882500).

Almost surely, 21337165661 is an apocalyptic number.

It is an amenable number.

1337165661 is a deficient number, since it is larger than the sum of its proper divisors (611074339).

1337165661 is a wasteful number, since it uses less digits than its factorization.

1337165661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645.

The product of its digits is 68040, while the sum is 39.

The square root of 1337165661 is about 36567.2758214226. The cubic root of 1337165661 is about 1101.6959132014.

The spelling of 1337165661 in words is "one billion, three hundred thirty-seven million, one hundred sixty-five thousand, six hundred sixty-one".

Divisors: 1 3 13 39 97 283 291 849 1249 1261 3679 3747 3783 11037 16237 27451 48711 82353 121153 353467 356863 363459 1060401 1070589 1574989 4595071 4724967 13785213 34286299 102858897 445721887 1337165661