Search a number
-
+
1682793379168 = 251142411127249
BaseRepresentation
bin11000011111001110010…
…011010011010101100000
312221212120202121220210221
4120133032103103111200
5210032330101113133
63325021542132424
7232402121500156
oct30371623232540
95855522556727
101682793379168
11599739aa06a0
12232178121114
13c28c09aa625
145b63a4453d6
152db8ee30a2d
hex187ce4d3560

1682793379168 has 48 divisors (see below), whose sum is σ = 3615036642000. Its totient is φ = 764725043200.

The previous prime is 1682793379159. The next prime is 1682793379171. The reversal of 1682793379168 is 8619733972861.

It is a junction number, because it is equal to n+sod(n) for n = 1682793379097 and 1682793379106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929208 + ... + 2056456.

It is an arithmetic number, because the mean of its divisors is an integer number (75313263375).

Almost surely, 21682793379168 is an apocalyptic number.

It is an amenable number.

1682793379168 is an abundant number, since it is smaller than the sum of its proper divisors (1932243262832).

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

1682793379168 is a wasteful number, since it uses less digits than its factorization.

1682793379168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131511 (or 1131503 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 70.

The spelling of 1682793379168 in words is "one trillion, six hundred eighty-two billion, seven hundred ninety-three million, three hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 4241 8482 16964 33928 46651 67856 93302 135712 186604 373208 746416 1127249 1492832 2254498 4508996 9017992 12399739 18035984 24799478 36071968 49598956 99197912 198395824 396791648 4780663009 9561326018 19122652036 38245304072 52587293099 76490608144 105174586198 152981216288 210349172396 420698344792 841396689584 1682793379168