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13700847104 = 297191731163
BaseRepresentation
bin11001100001010001…
…00101011000000000
31022100211120010221122
430300220211120000
5211024404101404
610143304411412
7663343164440
oct146050453000
938324503848
1013700847104
1158a085323a
1227a4476b68
1313a4649829
1493d884120
15552c403be
hex330a25600

13700847104 has 160 divisors (see below), whose sum is σ = 33151092480. Its totient is φ = 5525839872.

The previous prime is 13700847049. The next prime is 13700847131. The reversal of 13700847104 is 40174800731.

It is a super-2 number, since 2×137008471042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11780027 + ... + 11781189.

It is an arithmetic number, because the mean of its divisors is an integer number (207194328).

Almost surely, 213700847104 is an apocalyptic number.

13700847104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13700847104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16575546240).

13700847104 is an abundant number, since it is smaller than the sum of its proper divisors (19450245376).

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

13700847104 is a wasteful number, since it uses less digits than its factorization.

13700847104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 13700847104 in words is "thirteen billion, seven hundred million, eight hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 173 224 256 266 304 346 448 512 532 608 692 896 1064 1163 1211 1216 1384 1792 2128 2326 2422 2432 2768 3287 3584 4256 4652 4844 4864 5536 6574 8141 8512 9304 9688 9728 11072 13148 16282 17024 18608 19376 22097 22144 23009 26296 32564 34048 37216 38752 44194 44288 46018 52592 65128 68096 74432 77504 88388 88576 92036 105184 130256 148864 154679 155008 176776 184072 201199 210368 260512 297728 309358 310016 353552 368144 402398 420736 521024 595456 618716 620032 707104 736288 804796 841472 1042048 1237432 1408393 1414208 1472576 1609592 1682944 2084096 2474864 2816786 2828416 2945152 3219184 3822781 4168192 4949728 5633572 5656832 5890304 6438368 7645562 9899456 11267144 11313664 11780608 12876736 15291124 19798912 22534288 25753472 26759467 30582248 39597824 45068576 51506944 53518934 61164496 79195648 90137152 103013888 107037868 122328992 180274304 214075736 244657984 360548608 428151472 489315968 721097216 856302944 978631936 1712605888 1957263872 3425211776 6850423552 13700847104