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73848022375517 = 1323412741885289
BaseRepresentation
bin10000110010101000010101…
…001001000001110001011101
3100200110210122122121020001222
4100302220111021001301131
534134411222212004032
6421021151345343125
721361225560114635
oct2062502511016135
9320423578536058
1073848022375517
1121591852465045
1283482a9337aa5
133228ab9611390
1414343989016c5
15880e5347da12
hex432a15241c5d

73848022375517 has 16 divisors (see below), whose sum is σ = 79591728321840. Its totient is φ = 68113350489600.

The previous prime is 73848022375507. The next prime is 73848022375531. The reversal of 73848022375517 is 71557322084837.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2689029310276 + 71158993065241 = 1639826^2 + 8435579^2 .

It is not a de Polignac number, because 73848022375517 - 226 = 73847955266653 is a prime.

It is a super-2 number, since 2×738480223755172 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73848022375517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73848022375507) 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, 82974209 + ... + 83859497.

It is an arithmetic number, because the mean of its divisors is an integer number (4974483020115).

Almost surely, 273848022375517 is an apocalyptic number.

It is an amenable number.

73848022375517 is a deficient number, since it is larger than the sum of its proper divisors (5743705946323).

73848022375517 is a wasteful number, since it uses less digits than its factorization.

73848022375517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890384.

The product of its (nonzero) digits is 79027200, while the sum is 62.

The spelling of 73848022375517 in words is "seventy-three trillion, eight hundred forty-eight billion, twenty-two million, three hundred seventy-five thousand, five hundred seventeen".

Divisors: 1 13 2341 2741 30433 35633 885289 6416681 11508757 83416853 2072461549 2426577149 26942000137 31545502937 5680617105809 73848022375517