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13683959488 = 262931435531
BaseRepresentation
bin11001011111010000…
…01010011011000000
31022022122210011111101
430233220022123000
5211011043200423
610141502424144
7663046510423
oct145750123300
938278704441
1013683959488
115892269331
12279a892054
1313a0cb5c64
1493b5299ba
155515067ad
hex32fa0a6c0

13683959488 has 112 divisors (see below), whose sum is σ = 29676303360. Its totient is φ = 6243148800.

The previous prime is 13683959473. The next prime is 13683959489. The reversal of 13683959488 is 88495938631.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (13683959489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2471283 + ... + 2476813.

Almost surely, 213683959488 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 13683959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838151680).

13683959488 is an abundant number, since it is smaller than the sum of its proper divisors (15992343872).

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

13683959488 is a wasteful number, since it uses less digits than its factorization.

13683959488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5636 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 64.

The spelling of 13683959488 in words is "thirteen billion, six hundred eighty-three million, nine hundred fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 29 31 32 43 58 62 64 86 116 124 172 232 248 344 464 496 688 899 928 992 1247 1333 1376 1798 1856 1984 2494 2666 2752 3596 4988 5332 5531 7192 9976 10664 11062 14384 19952 21328 22124 28768 38657 39904 42656 44248 57536 77314 79808 85312 88496 154628 160399 171461 176992 237833 309256 320798 342922 353984 475666 618512 641596 685844 951332 1237024 1283192 1371688 1902664 2474048 2566384 2743376 3805328 4972369 5132768 5486752 6897157 7372823 7610656 9944738 10265536 10973504 13794314 14745646 15221312 19889476 27588628 29491292 39778952 55177256 58982584 79557904 110354512 117965168 159115808 213811867 220709024 235930336 318231616 427623734 441418048 471860672 855247468 1710494936 3420989872 6841979744 13683959488