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13663985940 = 223251131222613
BaseRepresentation
bin11001011100110111…
…11110000100010100
31022021021012101221100
430232123332010110
5210440440022230
610135510350100
7662414651463
oct145633760424
938237171840
1013663985940
115881a66970
12279405b330
131399b118a7
14938a0a9da
1554e8ad660
hex32e6fe114

13663985940 has 144 divisors (see below), whose sum is σ = 46674141696. Its totient is φ = 3205612800.

The previous prime is 13663985939. The next prime is 13663985947. The reversal of 13663985940 is 4958936631.

13663985940 is a `hidden beast` number, since 13 + 6 + 6 + 39 + 8 + 594 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13663985947) 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, 49927 + ... + 172686.

It is an arithmetic number, because the mean of its divisors is an integer number (324125984).

Almost surely, 213663985940 is an apocalyptic number.

13663985940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13663985940 is an abundant number, since it is smaller than the sum of its proper divisors (33010155756).

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

13663985940 is a wasteful number, since it uses less digits than its factorization.

13663985940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222670 (or 222665 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13663985940 in words is "thirteen billion, six hundred sixty-three million, nine hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 222613 445226 667839 890452 1113065 1335678 2003517 2226130 2448743 2671356 3339195 4007034 4452260 4897486 6678390 6901003 7346229 8014068 9794972 10017585 12243715 13356780 13802006 14692458 20035170 20703009 22038687 24487430 27604012 29384916 34505015 36731145 40070340 41406018 44077374 48974860 62109027 69010030 73462290 75911033 82812036 88154748 103515045 110193435 124218054 138020060 146924580 151822066 207030090 220386870 227733099 248436108 303644132 310545135 379555165 414060180 440773740 455466198 621090270 683199297 759110330 910932396 1138665495 1242180540 1366398594 1518220660 2277330990 2732797188 3415996485 4554661980 6831992970 13663985940