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1054193819 = 72940912697
BaseRepresentation
bin111110110101011…
…011100010011011
32201110122121001112
4332311123202123
54124333200234
6252335010535
735060333240
oct7665334233
92643577045
101054193819
114a1079468
12255069a4b
1313a533433
14a00175c7
1562838ace
hex3ed5b89b

1054193819 has 16 divisors (see below), whose sum is σ = 1249483200. Its totient is φ = 870234624.

The previous prime is 1054193813. The next prime is 1054193839. The reversal of 1054193819 is 9183914501.

It is not a de Polignac number, because 1054193819 - 28 = 1054193563 is a prime.

It is a super-2 number, since 2×10541938192 = 2222649216035609522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054193813) 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 15 ways as a sum of consecutive naturals, for example, 76679 + ... + 89375.

It is an arithmetic number, because the mean of its divisors is an integer number (78092700).

Almost surely, 21054193819 is an apocalyptic number.

1054193819 is a deficient number, since it is larger than the sum of its proper divisors (195289381).

1054193819 is a wasteful number, since it uses less digits than its factorization.

1054193819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13142.

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 1054193819 is about 32468.3510360474. The cubic root of 1054193819 is about 1017.7477599365.

The spelling of 1054193819 in words is "one billion, fifty-four million, one hundred ninety-three thousand, eight hundred nineteen".

Divisors: 1 7 29 203 409 2863 11861 12697 83027 88879 368213 2577491 5193073 36351511 150599117 1054193819