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1072141819 = 77110720161
BaseRepresentation
bin111111111001111…
…001010111111011
32202201102110002021
4333321321113323
54143432014234
6254215415311
735366024620
oct7771712773
92681373067
101072141819
11500218021
1225b084537
13141178858
14a256a347
15641d19b4
hex3fe795fb

1072141819 has 16 divisors (see below), whose sum is σ = 1254237696. Its totient is φ = 897523200.

The previous prime is 1072141817. The next prime is 1072141831. The reversal of 1072141819 is 9181412701.

It is not a de Polignac number, because 1072141819 - 21 = 1072141817 is a prime.

It is a super-2 number, since 2×10721418192 = 2298976160097257522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1072141817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43099 + ... + 63259.

It is an arithmetic number, because the mean of its divisors is an integer number (78389856).

Almost surely, 21072141819 is an apocalyptic number.

1072141819 is a deficient number, since it is larger than the sum of its proper divisors (182095877).

1072141819 is a wasteful number, since it uses less digits than its factorization.

1072141819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20346.

The product of its (nonzero) digits is 4032, while the sum is 34.

The square root of 1072141819 is about 32743.5767594195. The cubic root of 1072141819 is about 1023.4911192601.

The spelling of 1072141819 in words is "one billion, seventy-two million, one hundred forty-one thousand, eight hundred nineteen".

Divisors: 1 7 71 107 497 749 7597 20161 53179 141127 1431431 2157227 10020017 15100589 153163117 1072141819