Search a number
-
+
380194326801 = 364125572
BaseRepresentation
bin1011000100001010101…
…10010000100100010001
31100100100101200221000000
411202011112100210101
522212114221424201
6450354151520213
736316366312362
oct5420526204421
91310311627000
10380194326801
1113726a870a43
1261826389069
1329b102b26a3
1414589a23b69
159d52c65d86
hex5885590911

380194326801 has 63 divisors (see below), whose sum is σ = 585323863873. Its totient is φ = 246836911680.

The previous prime is 380194326793. The next prime is 380194326817. The reversal of 380194326801 is 108623491083.

The square root of 380194326801 is 616599.

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

380194326801 is a `hidden beast` number, since 380 + 1 + 9 + 4 + 3 + 268 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 285652836225 + 94541490576 = 534465^2 + 307476^2 .

It is not a de Polignac number, because 380194326801 - 23 = 380194326793 is a prime.

It is a super-2 number, since 2×3801943268012 (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 (380194324801) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 682574815 + ... + 682575371.

Almost surely, 2380194326801 is an apocalyptic number.

380194326801 is the 616599-th square number.

380194326801 is the 308300-th centered octagonal number.

It is an amenable number.

380194326801 is a deficient number, since it is larger than the sum of its proper divisors (205129537072).

380194326801 is an frugal number, since it uses more digits than its factorization.

380194326801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 380194326801 in words is "three hundred eighty billion, one hundred ninety-four million, three hundred twenty-six thousand, eight hundred one".

Divisors: 1 3 9 27 41 81 123 243 369 557 729 1107 1671 1681 3321 5013 5043 9963 15039 15129 22837 29889 45117 45387 68511 135351 136161 205533 310249 406053 408483 616599 930747 936317 1225449 1849797 2792241 2808951 5549391 8376723 8426853 12720209 16648173 25130169 25280559 38160627 75390507 75841677 114481881 226171521 227525031 343445643 521528569 682575093 1030336929 1564585707 3091010787 4693757121 9273032361 14081271363 42243814089 126731442267 380194326801