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13648947642 = 23211415331723
BaseRepresentation
bin11001011011000101…
…00110100110111010
31022020012220101021100
430231202212212322
5210423112311032
610134212152230
7662143066161
oct145542464672
938205811240
1013648947642
115874525420
12278b008676
1313969779a5
14936a143d8
1554d3dc97c
hex32d8a69ba

13648947642 has 96 divisors (see below), whose sum is σ = 33672614976. Its totient is φ = 3958905600.

The previous prime is 13648947617. The next prime is 13648947659. The reversal of 13648947642 is 24674984631.

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, 414393 + ... + 446115.

It is an arithmetic number, because the mean of its divisors is an integer number (350756406).

Almost surely, 213648947642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13648947642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836307488).

13648947642 is an abundant number, since it is smaller than the sum of its proper divisors (20023667334).

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

13648947642 is a wasteful number, since it uses less digits than its factorization.

13648947642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31836 (or 31833 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 13648947642 in words is "thirteen billion, six hundred forty-eight million, nine hundred forty-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 53 66 82 99 106 123 159 198 246 318 369 451 477 583 738 902 954 1166 1353 1749 2173 2706 3498 4059 4346 5247 6519 8118 10494 13038 19557 23903 31723 39114 47806 63446 71709 95169 143418 190338 215127 285507 348953 430254 571014 697906 1046859 1300643 1681319 2093718 2601286 3140577 3362638 3901929 5043957 6281154 7803858 10087914 11705787 14307073 15131871 18494509 23411574 28614146 30263742 36989018 42921219 55483527 68934079 85842438 110967054 128763657 137868158 166450581 206802237 257527314 332901162 413604474 620406711 758274869 1240813422 1516549738 2274824607 4549649214 6824473821 13648947642