Search a number
-
+
19000096000061 = 1110193153153759
BaseRepresentation
bin1000101000111110011011…
…11110010000100000111101
32111021101120100200101111112
410110133031332100200331
54442244144034000221
6104224305033131405
74000466043165251
oct424371576204075
974241510611445
1019000096000061
116065993951440
12216a419859b65
13a7a916b8b187
14499876884261
1522e381c8415b
hex1147cdf9083d

19000096000061 has 16 divisors (see below), whose sum is σ = 20748762316800. Its totient is φ = 17254995553200.

The previous prime is 19000096000049. The next prime is 19000096000087. The reversal of 19000096000061 is 16000069000091.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 19000096000061 - 214 = 19000095983677 is a prime.

It is a super-2 number, since 2×190000960000612 (a number of 27 digits) contains 22 as substring.

19000096000061 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19000095999991 and 19000096000027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19000096000091) 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, 353404100 + ... + 353457858.

It is an arithmetic number, because the mean of its divisors is an integer number (1296797644800).

Almost surely, 219000096000061 is an apocalyptic number.

19000096000061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

19000096000061 is a deficient number, since it is larger than the sum of its proper divisors (1748666316739).

19000096000061 is a wasteful number, since it uses less digits than its factorization.

19000096000061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86320.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 19000096000061 in words is "nineteen trillion, ninety-six million, sixty-one", and thus it is an aban number and an uban number.

Divisors: 1 11 1019 11209 31531 53759 346841 591349 32130089 54780421 353430979 602584631 1695075029 18645825319 1727281454551 19000096000061