Search a number
-
+
20457165165160 = 2352412122112569
BaseRepresentation
bin1001010011011000011100…
…00100000001001001101000
32200102200112000101011001211
410221230032010001021220
510140132233240241120
6111301520354122504
74210660423555663
oct451541604011150
980380460334054
1020457165165160
116577920467089
12236489b280434
13b55143c76499
1450a1bc5c26da
152572101b625a
hex129b0e101268

20457165165160 has 32 divisors (see below), whose sum is σ = 46219611774600. Its totient is φ = 8148912261120.

The previous prime is 20457165165149. The next prime is 20457165165163. The reversal of 20457165165160 is 6156156175402.

It can be written as a sum of positive squares in 4 ways, for example, as 18403945560324 + 2053219604836 = 4289982^2 + 1432906^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20457165165163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061046645 + ... + 1061065924.

Almost surely, 220457165165160 is an apocalyptic number.

20457165165160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20457165165160 is an abundant number, since it is smaller than the sum of its proper divisors (25762446609440).

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

20457165165160 is a wasteful number, since it uses less digits than its factorization.

20457165165160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122112821 (or 2122112817 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

The spelling of 20457165165160 in words is "twenty trillion, four hundred fifty-seven billion, one hundred sixty-five million, one hundred sixty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1928 2410 4820 9640 2122112569 4244225138 8488450276 10610562845 16976900552 21221125690 42442251380 84884502760 511429129129 1022858258258 2045716516516 2557145645645 4091433033032 5114291291290 10228582582580 20457165165160