Search a number
-
+
19081951276160 = 275314179296941
BaseRepresentation
bin1000101011010110111001…
…11011010110110010000000
32111120012211222211020212002
410111223130323112302000
510000114314011314120
6104330043303523132
74006424353435133
oct425533473266200
974505758736762
1019081951276160
116097679036953
122182262a594a8
13a85560497aa6
1449d7ddba421a
15231573079375
hex115adced6c80

19081951276160 has 256 divisors, whose sum is σ = 48848621875200. Its totient is φ = 7115157504000.

The previous prime is 19081951276139. The next prime is 19081951276177. The reversal of 19081951276160 is 6167215918091.

It is a junction number, because it is equal to n+sod(n) for n = 19081951276096 and 19081951276105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64113290 + ... + 64410230.

It is an arithmetic number, because the mean of its divisors is an integer number (190814929200).

Almost surely, 219081951276160 is an apocalyptic number.

19081951276160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19081951276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24424310937600).

19081951276160 is an abundant number, since it is smaller than the sum of its proper divisors (29766670599040).

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

19081951276160 is a wasteful number, since it uses less digits than its factorization.

19081951276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297111 (or 297099 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 56.

The spelling of 19081951276160 in words is "nineteen trillion, eighty-one billion, nine hundred fifty-one million, two hundred seventy-six thousand, one hundred sixty".