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13480661246404 = 22112157210632
BaseRepresentation
bin1100010000101011011000…
…0001100110000111000100
31202201201221110102202210211
43010022312001212013010
53231331343234341104
644400532535125204
72560642231651162
oct304126601460704
952651843382724
1013480661246404
114328130919400
121618786213804
1376a2b441c511
14348678ad0232
151859e2618e04
hexc42b60661c4

13480661246404 has 81 divisors (see below), whose sum is σ = 26121565672461. Its totient is φ = 6082816465440.

The previous prime is 13480661246363. The next prime is 13480661246449. The reversal of 13480661246404 is 40464216608431.

The square root of 13480661246404 is 3671602.

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., 3951388596100 + 9529272650304 = 1987810^2 + 3086952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12681712777 + ... + 12681713839.

Almost surely, 213480661246404 is an apocalyptic number.

13480661246404 is the 3671602-nd square number.

It is an amenable number.

13480661246404 is a deficient number, since it is larger than the sum of its proper divisors (12640904426057).

13480661246404 is an equidigital number, since it uses as much as digits as its factorization.

13480661246404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 49.

Multiplying 13480661246404 by its sum of digits (49), we get a square (660552401073796 = 257012142).

The spelling of 13480661246404 in words is "thirteen trillion, four hundred eighty billion, six hundred sixty-one million, two hundred forty-six thousand, four hundred four".

Divisors: 1 2 4 11 22 44 121 157 242 314 484 628 1063 1727 2126 3454 4252 6908 11693 18997 23386 24649 37994 46772 49298 75988 98596 128623 166891 257246 271139 333782 514492 542278 667564 1084556 1129969 1835801 2259938 2982529 3671602 4519876 5965058 7343204 11930116 12429659 20193811 24859318 26201887 40387622 49718636 52403774 80775244 104807548 136726249 177405133 273452498 288220757 354810266 546904996 576441514 709620532 1152883028 1951456463 3170428327 3902912926 6340856654 7805825852 12681713308 21466021093 27852605881 42932042186 55705211762 85864084372 111410423524 306378664691 612757329382 1225514658764 3370165311601 6740330623202 13480661246404