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13478049025 = 52723121072
BaseRepresentation
bin11001000110101101…
…01011010100000001
31021210022022211102221
430203112223110001
5210100340032100
610105225211041
7654666345400
oct144326532401
937708284387
1013478049025
1157970097a1
122741930a81
13136a43c64c
1491c049637
1553d3d101a
hex3235ab501

13478049025 has 81 divisors (see below), whose sum is σ = 20278270467. Its totient is φ = 8860370400.

The previous prime is 13478049007. The next prime is 13478049029. The reversal of 13478049025 is 52094087431.

The square root of 13478049025 is 116095.

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., 4852097649 + 8625951376 = 69657^2 + 92876^2 .

It is not a de Polignac number, because 13478049025 - 25 = 13478048993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13478049029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 125963022 + ... + 125963128.

Almost surely, 213478049025 is an apocalyptic number.

13478049025 is the 116095-th square number.

13478049025 is the 58048-th centered octagonal number.

It is an amenable number.

13478049025 is a deficient number, since it is larger than the sum of its proper divisors (6800221442).

13478049025 is an equidigital number, since it uses as much as digits as its factorization.

13478049025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 13478049025 in words is "thirteen billion, four hundred seventy-eight million, forty-nine thousand, twenty-five".

Divisors: 1 5 7 25 31 35 49 107 155 175 217 245 535 749 775 961 1085 1225 1519 2675 3317 3745 4805 5243 5425 6727 7595 11449 16585 18725 23219 24025 26215 33635 37975 47089 57245 80143 82925 102827 116095 131075 162533 168175 235445 286225 354919 400715 514135 561001 580475 719789 812665 1177225 1774595 2003575 2484433 2570675 2805005 3598945 4063325 5038523 8872975 11002489 12422165 14025025 17391031 17994725 25192615 55012445 62110825 77017423 86955155 125963075 275062225 385087115 434775775 539121961 1925435575 2695609805 13478049025