Search a number
-
+
379180082176 = 2107227492
BaseRepresentation
bin1011000010010001110…
…01001110010000000000
31100020201201012221221021
411201020321032100000
522203030100112201
6450105401035224
736252302343100
oct5411071162000
91306651187837
10379180082176
1113689a2a8a45
12615a2785b14
13299ab12893c
14144d1049200
159ce3bbdea1
hex5848e4e400

379180082176 has 99 divisors (see below), whose sum is σ = 882064186929. Its totient is φ = 162446635008.

The previous prime is 379180082153. The next prime is 379180082179. The reversal of 379180082176 is 671280081973.

The square root of 379180082176 is 615776.

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., 45188555776 + 333991526400 = 212576^2 + 577920^2 .

It is a super-2 number, since 2×3791800821762 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379180082179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137932450 + ... + 137935198.

Almost surely, 2379180082176 is an apocalyptic number.

379180082176 is the 615776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379180082176

379180082176 is an abundant number, since it is smaller than the sum of its proper divisors (502884104753).

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

379180082176 is an frugal number, since it uses more digits than its factorization.

379180082176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 379180082176 in words is "three hundred seventy-nine billion, one hundred eighty million, eighty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2749 3136 3584 5498 6272 7168 10996 12544 19243 21992 25088 38486 43984 50176 76972 87968 134701 153944 175936 269402 307888 351872 538804 615776 703744 1077608 1231552 1407488 2155216 2463104 2814976 4310432 4926208 7557001 8620864 9852416 15114002 17241728 19704832 30228004 34483456 52899007 60456008 68966912 105798014 120912016 137933824 211596028 241824032 370293049 423192056 483648064 740586098 846384112 967296128 1481172196 1692768224 1934592256 2962344392 3385536448 3869184512 5924688784 6771072896 7738369024 11849377568 13542145792 23698755136 27084291584 47397510272 54168583168 94795020544 189590041088 379180082176