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13152464145 = 3251967439523
BaseRepresentation
bin11000011111111001…
…01010110100010001
31020221121200101221200
430033330222310101
5203414012323040
610013034541413
7643634046342
oct141774526421
936847611850
1013152464145
11563a24aa87
122670897869
131317b54382
148caad60c9
1551ea1b630
hex30ff2ad11

13152464145 has 96 divisors (see below), whose sum is σ = 24457804800. Its totient is φ = 6518869632.

The previous prime is 13152464119. The next prime is 13152464167. The reversal of 13152464145 is 54146425131.

13152464145 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 2 + 4 + 641 + 4 + 5 = 666.

It is not a de Polignac number, because 13152464145 - 29 = 13152463633 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25147854 + ... + 25148376.

It is an arithmetic number, because the mean of its divisors is an integer number (254768800).

Almost surely, 213152464145 is an apocalyptic number.

13152464145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13152464145 is a deficient number, since it is larger than the sum of its proper divisors (11305340655).

13152464145 is a wasteful number, since it uses less digits than its factorization.

13152464145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1056 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 13152464145 its reverse (54146425131), we get a palindrome (67298889276).

The spelling of 13152464145 in words is "thirteen billion, one hundred fifty-two million, four hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 67 95 171 201 285 335 439 523 603 855 1005 1273 1317 1569 2195 2615 3015 3819 3951 4707 6365 6585 7845 8341 9937 11457 19095 19755 23535 25023 29413 29811 35041 41705 49685 57285 75069 88239 89433 105123 125115 147065 149055 175205 229597 264717 315369 375345 441195 447165 525615 558847 665779 688791 1147985 1323585 1576845 1676541 1997337 2066373 2794235 3328895 3443955 4362343 5029623 5992011 8382705 9986685 10331865 13087029 15382999 21811715 25148115 29960055 39261087 46148997 65435145 76914995 138446991 196305435 230744985 292276981 692234955 876830943 1461384905 2630492829 4384154715 13152464145