Search a number
-
+
808119666354 = 237111317311991283
BaseRepresentation
bin10111100001001111010…
…11111000011010110010
32212020220020201112021010
423300213223320122302
5101220012113310404
61415124533011350
7112245646553460
oct13604753703262
92766806645233
10808119666354
112917a3536260
12110751783b56
135b28922a890
142b18289d830
151604b079189
hexbc27af86b2

808119666354 has 512 divisors, whose sum is σ = 2385602150400. Its totient is φ = 175451443200.

The previous prime is 808119666349. The next prime is 808119666377. The reversal of 808119666354 is 453666911808.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 808119666294 and 808119666303.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 629866597 + ... + 629867879.

It is an arithmetic number, because the mean of its divisors is an integer number (4659379200).

Almost surely, 2808119666354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808119666354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192801075200).

808119666354 is an abundant number, since it is smaller than the sum of its proper divisors (1577482484046).

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

808119666354 is a wasteful number, since it uses less digits than its factorization.

808119666354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566.

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 808119666354 in words is "eight hundred eight billion, one hundred nineteen million, six hundred sixty-six thousand, three hundred fifty-four".