Search a number
-
+
13408222652176 = 24112832212
BaseRepresentation
bin1100001100011101100001…
…0110010010011100010000
31202110210222002102220112111
43003013120112102130100
53224140014444332201
644303352532435104
72552466154033312
oct303073026223420
952423862386474
1013408222652176
1142aa439154400
12160672a778a94
1376350b9c5501
14344d6628d7b2
15183ba2dabb51
hexc31d8592710

13408222652176 has 45 divisors (see below), whose sum is σ = 28555147873749. Its totient is φ = 6094573425600.

The previous prime is 13408222652147. The next prime is 13408222652183. The reversal of 13408222652176 is 67125622280431.

The square root of 13408222652176 is 3661724.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6340706741776 + 7067515910400 = 2518076^2 + 2658480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 161074246 + ... + 161157466.

Almost surely, 213408222652176 is an apocalyptic number.

13408222652176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13408222652176 is the 3661724-th square number.

It is an amenable number.

13408222652176 is an abundant number, since it is smaller than the sum of its proper divisors (15146925221573).

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

13408222652176 is an frugal number, since it uses more digits than its factorization.

13408222652176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166472 (or 83234 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 13408222652176 by its sum of digits (49), we get a square (657002909956624 = 256320682).

The spelling of 13408222652176 in words is "thirteen trillion, four hundred eight billion, two hundred twenty-two million, six hundred fifty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 83221 166442 332884 665768 915431 1331536 1830862 3661724 7323448 10069741 14646896 20139482 40278964 80557928 161115856 6925734841 13851469682 27702939364 55405878728 76183083251 110811757456 152366166502 304732333004 609464666008 838013915761 1218929332016 1676027831522 3352055663044 6704111326088 13408222652176