Search a number
-
+
18348023792322 = 23271271146608161
BaseRepresentation
bin1000010101111111110110…
…11100001100001011000010
32101222001110022210002202200
410022333323130030023002
54401103223042323242
6103004544334454030
73602413063652430
oct412777334141302
971861408702680
1018348023792322
11593439810a514
122083b78064316
13a31299084233
144760989b9d50
1521c41a69904c
hex10affb70c2c2

18348023792322 has 48 divisors (see below), whose sum is σ = 45790943557632. Its totient is φ = 5201014613760.

The previous prime is 18348023792303. The next prime is 18348023792363. The reversal of 18348023792322 is 22329732084381.

18348023792322 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 80 + 237 + 9 + 2 + 322 = 666.

It is a super-2 number, since 2×183480237923222 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 573288079 + ... + 573320082.

It is an arithmetic number, because the mean of its divisors is an integer number (953977990784).

Almost surely, 218348023792322 is an apocalyptic number.

18348023792322 is an abundant number, since it is smaller than the sum of its proper divisors (27442919765310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18348023792322 is a wasteful number, since it uses less digits than its factorization.

18348023792322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146608303 (or 1146608300 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 18348023792322 in words is "eighteen trillion, three hundred forty-eight billion, twenty-three million, seven hundred ninety-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 5334 8001 16002 1146608161 2293216322 3439824483 6879648966 8026257127 10319473449 16052514254 20638946898 24078771381 48157542762 72236314143 144472628286 145619236447 291238472894 436857709341 873715418682 1019334655129 1310573128023 2038669310258 2621146256046 3058003965387 6116007930774 9174011896161 18348023792322