Search a number
-
+
830148974856 = 23341281094097
BaseRepresentation
bin11000001010010001011…
…11000001100100001000
32221100202111202100110000
430011020233001210020
5102100121114143411
61433210513323000
7113655602600625
oct14051057014410
92840674670400
10830148974856
112a00784aa843
12114a7b266460
136038a171b76
142c2724ad34c
15168da046956
hexc148bc1908

830148974856 has 40 divisors (see below), whose sum is σ = 2325185787870. Its totient is φ = 276716324736.

The previous prime is 830148974849. The next prime is 830148974887. The reversal of 830148974856 is 658479841038.

830148974856 is a `hidden beast` number, since 8 + 3 + 0 + 1 + 489 + 74 + 85 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 612722610756 + 217426364100 = 782766^2 + 466290^2 .

It is a junction number, because it is equal to n+sod(n) for n = 830148974793 and 830148974802.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 640546401 + ... + 640547696.

Almost surely, 2830148974856 is an apocalyptic number.

It is an amenable number.

830148974856 is an abundant number, since it is smaller than the sum of its proper divisors (1495036813014).

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

830148974856 is a wasteful number, since it uses less digits than its factorization.

830148974856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281094115 (or 1281094102 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 830148974856 in words is "eight hundred thirty billion, one hundred forty-eight million, nine hundred seventy-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1281094097 2562188194 3843282291 5124376388 7686564582 10248752776 11529846873 15373129164 23059693746 30746258328 34589540619 46119387492 69179081238 92238774984 103768621857 138358162476 207537243714 276716324952 415074487428 830148974856