Search a number
-
+
19083654424065 = 3573112313073221
BaseRepresentation
bin1000101011011010000100…
…11100010110011000000001
32111120101020200121010120010
410111231002130112120001
510000131311013032230
6104330524304135133
74006514514111000
oct425550234263001
974511220533503
1019083654424065
11609837245a100
1221826593074a9
13a857722a710a
1449d922068c37
152316228509b0
hex115b42716601

19083654424065 has 384 divisors, whose sum is σ = 40546101657600. Its totient is φ = 7647659712000.

The previous prime is 19083654424033. The next prime is 19083654424123. The reversal of 19083654424065 is 56042445638091.

It is a happy number.

It is not a de Polignac number, because 19083654424065 - 25 = 19083654424033 is a prime.

It is a super-2 number, since 2×190836544240652 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19083654423996 and 19083654424014.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5924759155 + ... + 5924762375.

It is an arithmetic number, because the mean of its divisors is an integer number (105588806400).

Almost surely, 219083654424065 is an apocalyptic number.

19083654424065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19083654424065 is an abundant number, since it is smaller than the sum of its proper divisors (21462447233535).

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

19083654424065 is a wasteful number, since it uses less digits than its factorization.

19083654424065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 19083654424065 in words is "nineteen trillion, eighty-three billion, six hundred fifty-four million, four hundred twenty-four thousand, sixty-five".