Search a number
-
+
161826213105 = 325291071158923
BaseRepresentation
bin1001011010110110011…
…0000000110011110001
3120110200221120101102100
42112231212000303301
510122410002304410
6202201505211013
714456130054444
oct2265546006361
9513627511370
10161826213105
11626a2751097
1227443330a69
131234c7070ab
147b9229165b
154321e728c0
hex25ad980cf1

161826213105 has 48 divisors (see below), whose sum is σ = 292883273280. Its totient is φ = 82552331904.

The previous prime is 161826213103. The next prime is 161826213121. The reversal of 161826213105 is 501312628161.

161826213105 is a `hidden beast` number, since 1 + 6 + 18 + 2 + 621 + 3 + 10 + 5 = 666.

It is not a de Polignac number, because 161826213105 - 21 = 161826213103 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 161826213105.

It is not an unprimeable number, because it can be changed into a prime (161826213103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439827 + ... + 719096.

It is an arithmetic number, because the mean of its divisors is an integer number (6101734860).

Almost surely, 2161826213105 is an apocalyptic number.

161826213105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

161826213105 is a deficient number, since it is larger than the sum of its proper divisors (131057060175).

161826213105 is a wasteful number, since it uses less digits than its factorization.

161826213105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159070 (or 1159067 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 161826213105 in words is "one hundred sixty-one billion, eight hundred twenty-six million, two hundred thirteen thousand, one hundred five".

Divisors: 1 3 5 9 15 29 45 87 107 145 261 321 435 535 963 1305 1605 3103 4815 9309 15515 27927 46545 139635 1158923 3476769 5794615 10430307 17383845 33608767 52151535 100826301 124004761 168043835 302478903 372014283 504131505 620023805 1116042849 1512394515 1860071415 3596138069 5580214245 10788414207 17980690345 32365242621 53942071035 161826213105