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13041764145 = 3252982312143
BaseRepresentation
bin11000010010101100…
…11000011100110001
31020122220101021002200
430021112120130301
5203202142423040
65554042133413
7641121110664
oct141126303461
936586337080
1013041764145
115592810483
12263b7b1269
1312cac35507
148ba11b6db
15514e51630
hex309598731

13041764145 has 48 divisors (see below), whose sum is σ = 23415575040. Its totient is φ = 6707046528.

The previous prime is 13041764117. The next prime is 13041764159. The reversal of 13041764145 is 54146714031.

13041764145 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 1 + 7 + 641 + 4 + 5 = 666.

It is not a de Polignac number, because 13041764145 - 210 = 13041763121 is a prime.

It is a super-2 number, since 2×130417641452 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067944 + ... + 1080086.

It is an arithmetic number, because the mean of its divisors is an integer number (487824480).

Almost surely, 213041764145 is an apocalyptic number.

13041764145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13041764145 is a deficient number, since it is larger than the sum of its proper divisors (10373810895).

13041764145 is a wasteful number, since it uses less digits than its factorization.

13041764145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13041764145 in words is "thirteen billion, forty-one million, seven hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 823 1305 2469 4115 7407 12143 12345 23867 36429 37035 60715 71601 109287 119335 182145 214803 352147 358005 546435 1056441 1074015 1760735 3169323 5282205 9993689 15846615 29981067 49968445 89943201 149905335 289816981 449716005 869450943 1449084905 2608352829 4347254715 13041764145