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1483920752067 = 3213311665124571
BaseRepresentation
bin10101100110000000100…
…100011011110111000011
312020212020222200201012100
4111212000210123313003
5143303032203031232
63053412003401443
7212131640163465
oct25460044336703
95225228621170
101483920752067
11522366640436
121bb716083283
13a9c19104410
1451b71d8a135
152890094cc7c
hex1598091bdc3

1483920752067 has 48 divisors (see below), whose sum is σ = 2383023225856. Its totient is φ = 883635480000.

The previous prime is 1483920752057. The next prime is 1483920752077. The reversal of 1483920752067 is 7602570293841.

It is a happy number.

1483920752067 is a `hidden beast` number, since 1 + 4 + 8 + 39 + 20 + 7 + 520 + 67 = 666.

It is an interprime number because it is at equal distance from previous prime (1483920752057) and next prime (1483920752077).

It is not a de Polignac number, because 1483920752067 - 26 = 1483920752003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1483920752057) 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, 60380892 + ... + 60405462.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1483920752067 = 2967841504134, but 3⋅1483920752067 = 4451762256201 is not.

Almost surely, 21483920752067 is an apocalyptic number.

1483920752067 is a deficient number, since it is larger than the sum of its proper divisors (899102473789).

1483920752067 is a wasteful number, since it uses less digits than its factorization.

1483920752067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41272 (or 41269 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1483920752067 in words is "one trillion, four hundred eighty-three billion, nine hundred twenty million, seven hundred fifty-two thousand, sixty-seven".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 16651 24571 49953 73713 149859 216463 221139 319423 516181 649389 761701 958269 1548543 1948167 2285103 2874807 4645629 6710353 6855309 9902113 20131059 29706339 60393177 89119017 409131721 1227395163 3682185489 5318712373 12683083351 15956137119 38049250053 47868411357 114147750159 164880083563 494640250689 1483920752067