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13101666516 = 2233292144247
BaseRepresentation
bin11000011001110101…
…11001000011010100
31020211002002121201000
430030322321003110
5203313011312031
610004022103300
7642446220321
oct141472710324
936732077630
1013101666516
115613604a74
12265787ab30
13130a479bc3
148c4071b48
1551a3353e6
hex30ceb90d4

13101666516 has 72 divisors (see below), whose sum is σ = 35179202240. Its totient is φ = 4216599072.

The previous prime is 13101666509. The next prime is 13101666533. The reversal of 13101666516 is 61566610131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18705 + ... + 162951.

Almost surely, 213101666516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101666516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17589601120).

13101666516 is an abundant number, since it is smaller than the sum of its proper divisors (22077535724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13101666516 is a wasteful number, since it uses less digits than its factorization.

13101666516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144318 (or 144281 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13101666516 in words is "thirteen billion, one hundred one million, six hundred sixty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 841 1044 1566 1682 2523 3132 3364 5046 7569 10092 15138 22707 30276 45414 90828 144247 288494 432741 576988 865482 1298223 1730964 2596446 3894669 4183163 5192892 7789338 8366326 12549489 15578676 16732652 25098978 37648467 50197956 75296934 112945401 121311727 150593868 225890802 242623454 363935181 451781604 485246908 727870362 1091805543 1455740724 2183611086 3275416629 4367222172 6550833258 13101666516