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1380592100196 = 223872532
BaseRepresentation
bin10100000101110001101…
…100111010001101100100
311212222112211121100000000
4110011301230322031210
5140104423034201241
62534122452021300
7201513234140541
oct24056154721544
94788484540000
101380592100196
11492562280981
121a3699601830
13a025cac01aa
144ab6cc11bc8
1525da43a0eb6
hex14171b3a364

1380592100196 has 81 divisors (see below), whose sum is σ = 3624369848281. Its totient is φ = 460133917488.

The previous prime is 1380592100179. The next prime is 1380592100243. The reversal of 1380592100196 is 6910012950831.

The square root of 1380592100196 is 1174986.

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

1380592100196 is a `hidden beast` number, since 1 + 38 + 0 + 592 + 10 + 0 + 19 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1007192888100 + 373399212096 = 1003590^2 + 611064^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 190344106 + ... + 190351358.

Almost surely, 21380592100196 is an apocalyptic number.

1380592100196 is the 1174986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380592100196

1380592100196 is an abundant number, since it is smaller than the sum of its proper divisors (2243777748085).

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

1380592100196 is an frugal number, since it uses more digits than its factorization.

1380592100196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14534 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 1380592100196 in words is "one trillion, three hundred eighty billion, five hundred ninety-two million, one hundred thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 7253 8748 13122 14506 21759 26244 29012 43518 65277 87036 130554 195831 261108 391662 587493 783324 1174986 1762479 2349972 3524958 5287437 7049916 10574874 15862311 21149748 31724622 47586933 52606009 63449244 95173866 105212018 157818027 190347732 210424036 315636054 473454081 631272108 946908162 1420362243 1893816324 2840724486 4261086729 5681448972 8522173458 12783260187 17044346916 25566520374 38349780561 51133040748 76699561122 115049341683 153399122244 230098683366 345148025049 460197366732 690296050098 1380592100196