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13961377989 = 3213612418117
BaseRepresentation
bin11010000000010100…
…11011100011000101
31100000222210111010200
431000022123203011
5212043103043424
610225212441113
71002655516626
oct150012334305
940028714120
1013961377989
115a14919a19
122857779199
131416608610
14966301a4d
1556aa548c9
hex34029b8c5

13961377989 has 48 divisors (see below), whose sum is σ = 22168049904. Its totient is φ = 8414668800.

The previous prime is 13961377979. The next prime is 13961377999. The reversal of 13961377989 is 98977316931.

13961377989 is a `hidden beast` number, since 1 + 3 + 9 + 613 + 7 + 7 + 9 + 8 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (13961377979) and next prime (13961377999).

It can be written as a sum of positive squares in 8 ways, for example, as 229522500 + 13731855489 = 15150^2 + 117183^2 .

It is not a de Polignac number, because 13961377989 - 25 = 13961377957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13961377979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1715959 + ... + 1724075.

It is an arithmetic number, because the mean of its divisors is an integer number (461834373).

Almost surely, 213961377989 is an apocalyptic number.

It is an amenable number.

13961377989 is a deficient number, since it is larger than the sum of its proper divisors (8206671915).

13961377989 is a wasteful number, since it uses less digits than its factorization.

13961377989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 8435 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The spelling of 13961377989 in words is "thirteen billion, nine hundred sixty-one million, three hundred seventy-seven thousand, nine hundred eighty-nine".

Divisors: 1 3 9 13 39 61 117 183 241 549 723 793 2169 2379 3133 7137 8117 9399 14701 24351 28197 44103 73053 105521 132309 191113 316563 495137 573339 949689 1485411 1720017 1956197 4456233 5868591 6436781 17605773 19310343 25430561 57931029 76291683 119328017 228875049 357984051 1073952153 1551264221 4653792663 13961377989